225634752 has 168 divisors, whose sum is σ = 747467136. Its totient is φ = 63742464.

The previous prime is 225634741. The next prime is 225634789. The reversal of 225634752 is 257436522.

225634752 is a `hidden beast` number, since 2 + 2 + 563 + 47 + 52 = 666.

225634752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×225634752² = 101822082620203008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431163 + ... + 431685.

Almost surely, 2^225634752 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 225634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373733568).

225634752 is an abundant number, since it is smaller than the sum of its proper divisors (521832384).

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

225634752 is a wasteful number, since it uses less digits than its factorization.

225634752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 225634752 is about 15021.1434984158. The cubic root of 225634752 is about 608.7916166048.

The spelling of 225634752 in words is "two hundred twenty-five million, six hundred thirty-four thousand, seven hundred fifty-two".