225344560 has 80 divisors (see below), whose sum is σ = 630316800. Its totient is φ = 73191168.

The previous prime is 225344551. The next prime is 225344563. The reversal of 225344560 is 65443522.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (225344563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 21229.

It is an arithmetic number, because the mean of its divisors is an integer number (7878960).

Almost surely, 2^225344560 is an apocalyptic number.

225344560 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 225344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315158400).

225344560 is an abundant number, since it is smaller than the sum of its proper divisors (404972240).

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

225344560 is a wasteful number, since it uses less digits than its factorization.

225344560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21218 (or 21212 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 225344560 is about 15011.4809396009. The cubic root of 225344560 is about 608.5305128414.

The spelling of 225344560 in words is "two hundred twenty-five million, three hundred forty-four thousand, five hundred sixty".