220180 has 24 divisors (see below), whose sum is σ = 471240. Its totient is φ = 86400.

The previous prime is 220177. The next prime is 220189. The reversal of 220180 is 81022.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 125316 = 308^2 + 354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 2074.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2²²⁰¹⁸⁰ is an apocalyptic number.

220180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220180 is an abundant number, since it is smaller than the sum of its proper divisors (251060).

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

220180 is a wasteful number, since it uses less digits than its factorization.

220180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 220180 is about 469.2334173948. The cubic root of 220180 is about 60.3845669091.

It can be divided in two parts, 220 and 180, that added together give a square (400 = 20²).

The spelling of 220180 in words is "two hundred twenty thousand, one hundred eighty".