218338180 has 12 divisors (see below), whose sum is σ = 458510220. Its totient is φ = 87335264.

The previous prime is 218338163. The next prime is 218338189. The reversal of 218338180 is 81833812.

218338180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 80604484 = 11736^2 + 8978^2 .

It is not an unprimeable number, because it can be changed into a prime (218338189) 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, 5458435 + ... + 5458474.

It is an arithmetic number, because the mean of its divisors is an integer number (38209185).

Almost surely, 2^218338180 is an apocalyptic number.

218338180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218338180 is an abundant number, since it is smaller than the sum of its proper divisors (240172040).

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

218338180 is a wasteful number, since it uses less digits than its factorization.

218338180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916918 (or 10916916 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 218338180 is about 14776.2708421306. The cubic root of 218338180 is about 602.1572162166.

The spelling of 218338180 in words is "two hundred eighteen million, three hundred thirty-eight thousand, one hundred eighty".