225180 has 60 divisors (see below), whose sum is σ = 711480. Its totient is φ = 59616.

The previous prime is 225167. The next prime is 225217. The reversal of 225180 is 81522.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

225180 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 19 ways as a sum of consecutive naturals, for example, 1551 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2²²⁵¹⁸⁰ is an apocalyptic number.

225180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355740).

225180 is an abundant number, since it is smaller than the sum of its proper divisors (486300).

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

225180 is a wasteful number, since it uses less digits than its factorization.

225180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 225180 is about 474.5313477527. The cubic root of 225180 is about 60.8382348379.

The spelling of 225180 in words is "two hundred twenty-five thousand, one hundred eighty".