225268880 has 20 divisors (see below), whose sum is σ = 523750332. Its totient is φ = 90107520.

The previous prime is 225268867. The next prime is 225268907. The reversal of 225268880 is 88862522.

It can be written as a sum of positive squares in 2 ways, for example, as 50183056 + 175085824 = 7084^2 + 13232^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1407851 + ... + 1408010.

Almost surely, 2^225268880 is an apocalyptic number.

225268880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225268880 is an abundant number, since it is smaller than the sum of its proper divisors (298481452).

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

225268880 is a wasteful number, since it uses less digits than its factorization.

225268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815874 (or 2815868 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 225268880 is about 15008.9599906189. The cubic root of 225268880 is about 608.4623819966.

The spelling of 225268880 in words is "two hundred twenty-five million, two hundred sixty-eight thousand, eight hundred eighty".