225104832 has 140 divisors (see below), whose sum is σ = 673812216. Its totient is φ = 74304000.

The previous prime is 225104827. The next prime is 225104899. The reversal of 225104832 is 238401522.

225104832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225104796 and 225104805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 896707 + ... + 896957.

Almost surely, 2^225104832 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 225104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336906108).

225104832 is an abundant number, since it is smaller than the sum of its proper divisors (448707384).

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

225104832 is a wasteful number, since it uses less digits than its factorization.

225104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

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

The square root of 225104832 is about 15003.4939930671. The cubic root of 225104832 is about 608.3146455426.

The spelling of 225104832 in words is "two hundred twenty-five million, one hundred four thousand, eight hundred thirty-two".