225488 has 20 divisors (see below), whose sum is σ = 463140. Its totient is φ = 105984.

The previous prime is 225479. The next prime is 225493. The reversal of 225488 is 884522.

225488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 71824 = 392^2 + 268^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 225488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (23157).

2²²⁵⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

225488 is an abundant number, since it is smaller than the sum of its proper divisors (237652).

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

225488 is a wasteful number, since it uses less digits than its factorization.

225488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 225488 is about 474.8557675758. The cubic root of 225488 is about 60.8659602716.

The spelling of 225488 in words is "two hundred twenty-five thousand, four hundred eighty-eight".