225724226532 has 192 divisors, whose sum is σ = 630878976000. Its totient is φ = 62765001600.

The previous prime is 225724226513. The next prime is 225724226549. The reversal of 225724226532 is 235622427522.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24522643 + ... + 24531845.

It is an arithmetic number, because the mean of its divisors is an integer number (3285828000).

Almost surely, 2^225724226532 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 225724226532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315439488000).

225724226532 is an abundant number, since it is smaller than the sum of its proper divisors (405154749468).

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

225724226532 is a wasteful number, since it uses less digits than its factorization.

225724226532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391 (or 9375 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The spelling of 225724226532 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred twenty-six thousand, five hundred thirty-two".