Search a number
-
+
205323791 is a prime number
BaseRepresentation
bin11000011110011…
…11111000001111
3112022100112021212
430033033320033
5410030330131
632212445035
75042136431
oct1417177017
9468315255
10205323791
11a5999892
125891977b
13336cc58a
141d3aa651
151305ba2b
hexc3cfe0f

205323791 has 2 divisors, whose sum is σ = 205323792. Its totient is φ = 205323790.

The previous prime is 205323787. The next prime is 205323793. The reversal of 205323791 is 197323502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205323791 - 22 = 205323787 is a prime.

It is a super-2 number, since 2×2053237912 = 84315718301223362, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 205323793, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205323793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102661895 + 102661896.

It is an arithmetic number, because the mean of its divisors is an integer number (102661896).

Almost surely, 2205323791 is an apocalyptic number.

205323791 is a deficient number, since it is larger than the sum of its proper divisors (1).

205323791 is an equidigital number, since it uses as much as digits as its factorization.

205323791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 205323791 is about 14329.1238741243. The cubic root of 205323791 is about 589.9471282699.

The spelling of 205323791 in words is "two hundred five million, three hundred twenty-three thousand, seven hundred ninety-one".