218934180 has 144 divisors (see below), whose sum is σ = 693149184. Its totient is φ = 55883520.

The previous prime is 218934179. The next prime is 218934181. The reversal of 218934180 is 81439812.

It is an interprime number because it is at equal distance from previous prime (218934179) and next prime (218934181).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218934181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472629 + ... + 473091.

It is an arithmetic number, because the mean of its divisors is an integer number (4813536).

Almost surely, 2^218934180 is an apocalyptic number.

218934180 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 218934180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346574592).

218934180 is an abundant number, since it is smaller than the sum of its proper divisors (474215004).

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

218934180 is a wasteful number, since it uses less digits than its factorization.

218934180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218934180 is about 14796.4245681178. The cubic root of 218934180 is about 602.7046233686.

The spelling of 218934180 in words is "two hundred eighteen million, nine hundred thirty-four thousand, one hundred eighty".