33199 (number)
33,199 (thirtythree thousand one hundred ninetynine) is an odd fivedigits prime number following 33198 and preceding 33200. In scientific notation, it is written as 3.3199 × 10^{4}. The sum of its digits is 25. It has a total of 1 prime factor and 2 positive divisors. There are 33,198 positive integers (up to 33199) that are relatively prime to 33199.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 25
 Digital Root 7
Name
Short name  33 thousand 199 

Full name  thirtythree thousand one hundred ninetynine 
Notation
Scientific notation  3.3199 × 10^{4} 

Engineering notation  33.199 × 10^{3} 
Prime Factorization of 33199
Prime Factorization 33199
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  33199  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.410275033969  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 33,199 is 33199. Since it has a total of 1 prime factor, 33,199 is a prime number.
Divisors of 33199
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  33200  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  16600  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  182.20592745572  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999397590361  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,199 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 33,199) is 33,200, the average is 16,600.
Other Arithmetic Functions (n = 33199)
φ(n)  Euler Totient  33198  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  33198  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3556  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 33,198 positive integers (less than 33,199) that are coprime with 33,199. And there are approximately 3,556 prime numbers less than or equal to 33,199.
Divisibility of 33199
m  2  3  4  5  6  7  8  9 

n mod m  1  1  3  4  1  5  7  7 
33,199 is not divisible by any number less than or equal to 9.
Classification of 33199
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (33199)
Base  System  Value 

2  Binary  1000000110101111 
3  Ternary  1200112121 
4  Quaternary  20012233 
5  Quinary  2030244 
6  Senary  413411 
8  Octal  100657 
10  Decimal  33199 
12  Duodecimal  17267 
16  Hexadecimal  81af 
20  Vigesimal  42jj 
36  Base36  pm7 
Basic calculations (n = 33199)
Multiplication
n×yn×2  66398 

n×3  99597 
n×4  132796 
n×5  165995 
Division
n÷yn÷2  16599.500 

n÷3  11066.333 
n÷4  8299.750 
n÷5  6639.800 
Exponentiation
n^{y}n^{2}  1102173601 

n^{3}  36591061379599 
n^{4}  1214786646741307201 
n^{5}  40329701885164657765999 
Nth Root
^{y}√n^{2}√n  182.20592745572 

^{3}√n  32.139688811752 
^{4}√n  13.49836758485 
^{5}√n  8.0209350655276 
33199 as geometric shapes
Circle
Radius = nDiameter  66398 

Circumference  208595.46901306 
Area  3462580487.8822 
Sphere
Radius = nVolume  1.532722794896E+14 

Surface area  13850321951.529 
Circumference  208595.46901306 
Square
Length = nPerimeter  132796 

Area  1102173601 
Diagonal  46950.476057224 
Cube
Length = nSurface area  6613041606 

Volume  36591061379599 
Space diagonal  57502.354760479 
Equilateral Triangle
Length = nPerimeter  99597 

Area  477255168.92329 
Altitude  28751.17738024 
Triangular Pyramid
Length = nSurface area  1909020675.6931 

Volume  4312297938721.3 
Height  27106.86999022 
Cryptographic Hash Functions
md5  e42411f064786c51abac608d51afa607 

sha1  93d841f75f40dd64622cb8550e7aae4ea3ba48e9 
sha256  36405a0a4770d34680a8fc871dab392357cc3e920abb69650fa2e034423d12af 
sha512  37ad76513c47fd90a1bd8a77b66484e26fffee10cd6f8d6783ec892779a758b6160faca0805f54990e20c66c226fc75c938851370b783953c0dbab64da4cdb9c 
ripemd160  aebe0a119e11be753bdd3af053659481c92e2e23 