225324624 has 80 divisors (see below), whose sum is σ = 677849472. Its totient is φ = 63158784.

The previous prime is 225324611. The next prime is 225324653. The reversal of 225324624 is 426423522.

225324624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225324591 and 225324600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11482 + ... + 24134.

Almost surely, 2^225324624 is an apocalyptic number.

225324624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225324624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338924736).

225324624 is an abundant number, since it is smaller than the sum of its proper divisors (452524848).

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

225324624 is a wasteful number, since it uses less digits than its factorization.

225324624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12724 (or 12718 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 225324624 is about 15010.8168998226. The cubic root of 225324624 is about 608.5125669573.

The spelling of 225324624 in words is "two hundred twenty-five million, three hundred twenty-four thousand, six hundred twenty-four".