225961584 has 20 divisors (see below), whose sum is σ = 583734216. Its totient is φ = 75320512.

The previous prime is 225961579. The next prime is 225961601. The reversal of 225961584 is 485169522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2353719 + ... + 2353814.

Almost surely, 2^225961584 is an apocalyptic number.

225961584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225961584 is an abundant number, since it is smaller than the sum of its proper divisors (357772632).

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

225961584 is a wasteful number, since it uses less digits than its factorization.

225961584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707544 (or 4707538 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 225961584 is about 15032.0186269177. The cubic root of 225961584 is about 609.0854197336.

The spelling of 225961584 in words is "two hundred twenty-five million, nine hundred sixty-one thousand, five hundred eighty-four".