225952 has 24 divisors (see below), whose sum is σ = 465696. Its totient is φ = 107712.

The previous prime is 225949. The next prime is 225961. The reversal of 225952 is 259522.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

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, 583 + ... + 889.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2²²⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848).

225952 is an abundant number, since it is smaller than the sum of its proper divisors (239744).

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

225952 is a wasteful number, since it uses less digits than its factorization.

225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 225952 is about 475.3440858999. The cubic root of 225952 is about 60.9076808303.

The spelling of 225952 in words is "two hundred twenty-five thousand, nine hundred fifty-two".