225488560 has 160 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 77952000.

The previous prime is 225488539. The next prime is 225488579. The reversal of 225488560 is 65884522.

225488560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232510 + ... + 2232610.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2^225488560 is an apocalyptic number.

225488560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

225488560 is an abundant number, since it is smaller than the sum of its proper divisors (375544400).

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

225488560 is a wasteful number, since it uses less digits than its factorization.

225488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 225488560 is about 15016.2765025155. The cubic root of 225488560 is about 608.6601065845.

The spelling of 225488560 in words is "two hundred twenty-five million, four hundred eighty-eight thousand, five hundred sixty".