215264200 has 48 divisors (see below), whose sum is σ = 529938180. Its totient is φ = 81039360.

The previous prime is 215264197. The next prime is 215264201. The reversal of 215264200 is 2462512.

215264200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 150847524 + 64416676 = 12282^2 + 8026^2 .

It is not an unprimeable number, because it can be changed into a prime (215264201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28257 + ... + 35056.

Almost surely, 2^215264200 is an apocalyptic number.

215264200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215264200 is an abundant number, since it is smaller than the sum of its proper divisors (314673980).

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

215264200 is a wasteful number, since it uses less digits than its factorization.

215264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63346 (or 63337 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 215264200 is about 14671.8846778456. The cubic root of 215264200 is about 599.3179286286.

The spelling of 215264200 in words is "two hundred fifteen million, two hundred sixty-four thousand, two hundred".