225666900 has 54 divisors (see below), whose sum is σ = 707343182. Its totient is φ = 60177600.

The previous prime is 225666853. The next prime is 225666913. The reversal of 225666900 is 9666522.

It can be written as a sum of positive squares in 3 ways, for example, as 19342404 + 206324496 = 4398^2 + 14364^2 .

It is a super-2 number, since 2×225666900² = 101851099511220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124471 + ... + 126270.

Almost surely, 2^225666900 is an apocalyptic number.

225666900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225666900 is an abundant number, since it is smaller than the sum of its proper divisors (481676282).

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

225666900 is a wasteful number, since it uses less digits than its factorization.

225666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250761 (or 250751 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 225666900 is about 15022.2135519370. The cubic root of 225666900 is about 608.8205283797.

The spelling of 225666900 in words is "two hundred twenty-five million, six hundred sixty-six thousand, nine hundred".