225247520 has 48 divisors (see below), whose sum is σ = 533946168. Its totient is φ = 89794560.

The previous prime is 225247511. The next prime is 225247537. The reversal of 225247520 is 25742522.

It can be written as a sum of positive squares in 4 ways, for example, as 110586256 + 114661264 = 10516^2 + 10708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48500 + ... + 52940.

Almost surely, 2^225247520 is an apocalyptic number.

225247520 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 225247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266973084).

225247520 is an abundant number, since it is smaller than the sum of its proper divisors (308698648).

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

225247520 is a wasteful number, since it uses less digits than its factorization.

225247520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 225247520 is about 15008.2483987972. The cubic root of 225247520 is about 608.4431499168.

The spelling of 225247520 in words is "two hundred twenty-five million, two hundred forty-seven thousand, five hundred twenty".