205131936 has 48 divisors (see below), whose sum is σ = 539784000. Its totient is φ = 68210688.

The previous prime is 205131869. The next prime is 205131977. The reversal of 205131936 is 639131502.

205131936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×205131936² = 84158222334216192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40725 + ... + 45483.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^205131936 is an apocalyptic number.

It is an amenable number.

205131936 is an abundant number, since it is smaller than the sum of its proper divisors (334652064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205131936 is a wasteful number, since it uses less digits than its factorization.

205131936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 205131936 is about 14322.4277271697. The cubic root of 205131936 is about 589.7633217120.

The spelling of 205131936 in words is "two hundred five million, one hundred thirty-one thousand, nine hundred thirty-six".