225250624 has 56 divisors (see below), whose sum is σ = 477316800. Its totient is φ = 105154560.

The previous prime is 225250591. The next prime is 225250637. The reversal of 225250624 is 426052522.

It is a super-2 number, since 2×225250624² = 101475687224778752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225250592 and 225250601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85032 + ... + 87640.

Almost surely, 2^225250624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238658400).

225250624 is an abundant number, since it is smaller than the sum of its proper divisors (252066176).

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

225250624 is a wasteful number, since it uses less digits than its factorization.

225250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 225250624 is about 15008.3518082433. The cubic root of 225250624 is about 608.4459447664.

The spelling of 225250624 in words is "two hundred twenty-five million, two hundred fifty thousand, six hundred twenty-four".