225967272 has 64 divisors (see below), whose sum is σ = 593602560. Its totient is φ = 71544000.

The previous prime is 225967253. The next prime is 225967297. The reversal of 225967272 is 272769522.

It is a super-2 number, since 2×225967272² = 102122416030243968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81997 + ... + 84707.

It is an arithmetic number, because the mean of its divisors is an integer number (9275040).

Almost surely, 2^225967272 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 225967272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296801280).

225967272 is an abundant number, since it is smaller than the sum of its proper divisors (367635288).

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

225967272 is a wasteful number, since it uses less digits than its factorization.

225967272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2890 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 225967272 is about 15032.2078218737. The cubic root of 225967272 is about 609.0905304088.

The spelling of 225967272 in words is "two hundred twenty-five million, nine hundred sixty-seven thousand, two hundred seventy-two".