225992 has 32 divisors (see below), whose sum is σ = 476280. Its totient is φ = 99840.

The previous prime is 225989. The next prime is 226001. The reversal of 225992 is 299522.

225992 is digitally balanced in base 2, 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 4 ways, for example, as 119716 + 106276 = 346^2 + 326^2 .

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, 4238 + ... + 4290.

2²²⁵⁹⁹² 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 225992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238140).

225992 is an abundant number, since it is smaller than the sum of its proper divisors (250288).

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

225992 is a wasteful number, since it uses less digits than its factorization.

225992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 225992 is about 475.3861588225. The cubic root of 225992 is about 60.9112747551.

It can be divided in two parts, 2 and 25992, that multiplied together give a square (51984 = 228²).

The spelling of 225992 in words is "two hundred twenty-five thousand, nine hundred ninety-two".