225198272 has 56 divisors (see below), whose sum is σ = 490429296. Its totient is φ = 101956608.

The previous prime is 225198247. The next prime is 225198287. The reversal of 225198272 is 272891522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41543 + ... + 46649.

It is an arithmetic number, because the mean of its divisors is an integer number (8757666).

Almost surely, 2^225198272 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 225198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245214648).

225198272 is an abundant number, since it is smaller than the sum of its proper divisors (265231024).

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

225198272 is a wasteful number, since it uses less digits than its factorization.

225198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5175 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 225198272 is about 15006.6076113158. The cubic root of 225198272 is about 608.3988034539.

The spelling of 225198272 in words is "two hundred twenty-five million, one hundred ninety-eight thousand, two hundred seventy-two".