225013584 has 20 divisors (see below), whose sum is σ = 581285216. Its totient is φ = 75004512.

The previous prime is 225013559. The next prime is 225013609. The reversal of 225013584 is 485310522.

It is an interprime number because it is at equal distance from previous prime (225013559) and next prime (225013609).

It is a super-2 number, since 2×225013584² = 101262225969050112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2343844 + ... + 2343939.

Almost surely, 2^225013584 is an apocalyptic number.

225013584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225013584 is an abundant number, since it is smaller than the sum of its proper divisors (356271632).

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

225013584 is a wasteful number, since it uses less digits than its factorization.

225013584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687794 (or 4687788 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 225013584 is about 15000.4527931659. The cubic root of 225013584 is about 608.2324394046.

The spelling of 225013584 in words is "two hundred twenty-five million, thirteen thousand, five hundred eighty-four".