225160320 has 256 divisors, whose sum is σ = 895380480. Its totient is φ = 46755840.

The previous prime is 225160261. The next prime is 225160339. The reversal of 225160320 is 23061522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147079 + ... + 148601.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2^225160320 is an apocalyptic number.

225160320 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 225160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447690240).

225160320 is an abundant number, since it is smaller than the sum of its proper divisors (670220160).

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

225160320 is a wasteful number, since it uses less digits than its factorization.

225160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 225160320 is about 15005.3430483945. The cubic root of 225160320 is about 608.3646243157.

The spelling of 225160320 in words is "two hundred twenty-five million, one hundred sixty thousand, three hundred twenty".