205211264 has 32 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 102360832.

The previous prime is 205211239. The next prime is 205211291. The reversal of 205211264 is 462112502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×205211264² = 84223325744955392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59639 + ... + 62985.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 2^205211264 is an apocalyptic number.

It is an amenable number.

205211264 is a deficient number, since it is larger than the sum of its proper divisors (204583936).

205211264 is an equidigital number, since it uses as much as digits as its factorization.

205211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 205211264 is about 14325.1968223826. The cubic root of 205211264 is about 589.8393357418.

Adding to 205211264 its reverse (462112502), we get a palindrome (667323766).

The spelling of 205211264 in words is "two hundred five million, two hundred eleven thousand, two hundred sixty-four".