225559584 has 36 divisors (see below), whose sum is σ = 641435886. Its totient is φ = 75186432.

The previous prime is 225559571. The next prime is 225559601. The reversal of 225559584 is 485955522.

225559584 is a `hidden beast` number, since 2 + 2 + 55 + 595 + 8 + 4 = 666.

225559584 is digitally balanced in base 3, 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 only one way, i.e., 198810000 + 26749584 = 14100^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 391309 + ... + 391884.

Almost surely, 2^225559584 is an apocalyptic number.

225559584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225559584 is an abundant number, since it is smaller than the sum of its proper divisors (415876302).

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

225559584 is a wasteful number, since it uses less digits than its factorization.

225559584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783209 (or 783198 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 225559584 is about 15018.6412168345. The cubic root of 225559584 is about 608.7240047817.

The spelling of 225559584 in words is "two hundred twenty-five million, five hundred fifty-nine thousand, five hundred eighty-four".