225980 has 12 divisors (see below), whose sum is σ = 474600. Its totient is φ = 90384.

The previous prime is 225977. The next prime is 225983. The reversal of 225980 is 89522.

It is an interprime number because it is at equal distance from previous prime (225977) and next prime (225983).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225980.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5630 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (39550).

2²²⁵⁹⁸⁰ is an apocalyptic number.

225980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225980 is an abundant number, since it is smaller than the sum of its proper divisors (248620).

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

225980 is a wasteful number, since it uses less digits than its factorization.

225980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 225980 is about 475.3735373367. The cubic root of 225980 is about 60.9101966222.

The spelling of 225980 in words is "two hundred twenty-five thousand, nine hundred eighty".