225898560 has 84 divisors (see below), whose sum is σ = 777006828. Its totient is φ = 60238848.

The previous prime is 225898559. The next prime is 225898577. The reversal of 225898560 is 65898522.

225898560 is a `hidden beast` number, since 2 + 2 + 5 + 89 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 162409536 = 7968^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 36339 + ... + 42098.

Almost surely, 2^225898560 is an apocalyptic number.

225898560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225898560 is an abundant number, since it is smaller than the sum of its proper divisors (551108268).

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

225898560 is a wasteful number, since it uses less digits than its factorization.

225898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78460 (or 78447 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 225898560 is about 15029.9221554870. The cubic root of 225898560 is about 609.0287868489.

The spelling of 225898560 in words is "two hundred twenty-five million, eight hundred ninety-eight thousand, five hundred sixty".