220363180 has 48 divisors (see below), whose sum is σ = 493045056. Its totient is φ = 82442240.

The previous prime is 220363177. The next prime is 220363181. The reversal of 220363180 is 81363022.

220363180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220363181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54840 + ... + 58720.

It is an arithmetic number, because the mean of its divisors is an integer number (10271772).

Almost surely, 2^220363180 is an apocalyptic number.

220363180 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 220363180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246522528).

220363180 is an abundant number, since it is smaller than the sum of its proper divisors (272681876).

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

220363180 is a wasteful number, since it uses less digits than its factorization.

220363180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 220363180 is about 14844.6347210027. The cubic root of 220363180 is about 604.0130802834.

The spelling of 220363180 in words is "two hundred twenty million, three hundred sixty-three thousand, one hundred eighty".