225882 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 72864.

The previous prime is 225871. The next prime is 225889. The reversal of 225882 is 288522.

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

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225882.

It is not an unprimeable number, because it can be changed into a prime (225889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 2582.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²²⁵⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

225882 is an abundant number, since it is smaller than the sum of its proper divisors (292518).

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

225882 is a wasteful number, since it uses less digits than its factorization.

225882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 225882 is about 475.2704493233. The cubic root of 225882 is about 60.9013904412.

Subtracting from 225882 its product of digits (2560), we obtain a palindrome (223322).

The spelling of 225882 in words is "two hundred twenty-five thousand, eight hundred eighty-two".