115624224 has 36 divisors (see below), whose sum is σ = 328807206. Its totient is φ = 38541312.

The previous prime is 115624211. The next prime is 115624241. The reversal of 115624224 is 422426511.

115624224 is a `hidden beast` number, since 1 + 15 + 624 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62916624 + 52707600 = 7932^2 + 7260^2 .

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

It is a super-2 number, since 2×115624224² = 26737922351204352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200449 + ... + 201024.

Almost surely, 2^115624224 is an apocalyptic number.

It is an amenable number.

115624224 is an abundant number, since it is smaller than the sum of its proper divisors (213182982).

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

115624224 is a wasteful number, since it uses less digits than its factorization.

115624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401489 (or 401478 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 115624224 is about 10752.8705004757. The cubic root of 115624224 is about 487.1727002264.

The spelling of 115624224 in words is "one hundred fifteen million, six hundred twenty-four thousand, two hundred twenty-four".