225413824 has 28 divisors (see below), whose sum is σ = 450843904. Its totient is φ = 111815424.

The previous prime is 225413819. The next prime is 225413827. The reversal of 225413824 is 428314522.

225413824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

225413824 is an admirable number.

It is a super-2 number, since 2×225413824² = 101622784100605952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225413827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5739 + ... + 21994.

It is an arithmetic number, because the mean of its divisors is an integer number (16101568).

Almost surely, 2^225413824 is an apocalyptic number.

It is an amenable number.

225413824 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

225413824 is a wasteful number, since it uses less digits than its factorization.

225413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27872 (or 27862 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 225413824 is about 15013.7877965555. The cubic root of 225413824 is about 608.5928543208.

The spelling of 225413824 in words is "two hundred twenty-five million, four hundred thirteen thousand, eight hundred twenty-four".