225318272 has 48 divisors (see below), whose sum is σ = 476912220. Its totient is φ = 106014720.

The previous prime is 225318257. The next prime is 225318299. The reversal of 225318272 is 272813522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33947 + ... + 40037.

Almost surely, 2^225318272 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 225318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238456110).

225318272 is an abundant number, since it is smaller than the sum of its proper divisors (251593948).

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

225318272 is an equidigital number, since it uses as much as digits as its factorization.

225318272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6110 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 225318272 is about 15010.6053175746. The cubic root of 225318272 is about 608.5068488249.

It can be divided in two parts, 22531 and 8272, that added together give a palindrome (30803).

The spelling of 225318272 in words is "two hundred twenty-five million, three hundred eighteen thousand, two hundred seventy-two".