225988 has 18 divisors (see below), whose sum is σ = 460446. Its totient is φ = 96768.

The previous prime is 225983. The next prime is 225989. The reversal of 225988 is 889522.

225988 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 only one way, i.e., 213444 + 12544 = 462^2 + 112^2 .

It is a super-2 number, since 2×225988² = 102141152288, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 381 + ... + 772.

2²²⁵⁹⁸⁸ is an apocalyptic number.

225988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225988 is an abundant number, since it is smaller than the sum of its proper divisors (234458).

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

225988 is a wasteful number, since it uses less digits than its factorization.

225988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 225988 is about 475.3819516978. The cubic root of 225988 is about 60.9109153817.

The spelling of 225988 in words is "two hundred twenty-five thousand, nine hundred eighty-eight".