225493632 has 320 divisors, whose sum is σ = 829382400. Its totient is φ = 59222016.

The previous prime is 225493621. The next prime is 225493663. The reversal of 225493632 is 236394522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943369 + ... + 943607.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^225493632 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 225493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414691200).

225493632 is an abundant number, since it is smaller than the sum of its proper divisors (603888768).

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

225493632 is a wasteful number, since it uses less digits than its factorization.

225493632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 225493632 is about 15016.4453849771. The cubic root of 225493632 is about 608.6646701581.

The spelling of 225493632 in words is "two hundred twenty-five million, four hundred ninety-three thousand, six hundred thirty-two".