225713520 has 160 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 59417856.

The previous prime is 225713519. The next prime is 225713549. The reversal of 225713520 is 25317522.

225713520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225713520² = 101893186221580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 178651 + ... + 179909.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^225713520 is an apocalyptic number.

225713520 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 225713520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

225713520 is an abundant number, since it is smaller than the sum of its proper divisors (561736080).

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

225713520 is a wasteful number, since it uses less digits than its factorization.

225713520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225713520 is about 15023.7651738837. The cubic root of 225713520 is about 608.8624504320.

The spelling of 225713520 in words is "two hundred twenty-five million, seven hundred thirteen thousand, five hundred twenty".