225880 has 16 divisors (see below), whose sum is σ = 508320. Its totient is φ = 90336.

The previous prime is 225871. The next prime is 225889. The reversal of 225880 is 88522.

225880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225871) and next prime (225889).

It is a nialpdrome in base 12.

It is a congruent number.

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

225880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2784 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (31770).

2²²⁵⁸⁸⁰ is an apocalyptic number.

225880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225880 is an abundant number, since it is smaller than the sum of its proper divisors (282440).

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

225880 is a wasteful number, since it uses less digits than its factorization.

225880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 225880 is about 475.2683452535. The cubic root of 225880 is about 60.9012106967.

The spelling of 225880 in words is "two hundred twenty-five thousand, eight hundred eighty".