218102180 has 48 divisors (see below), whose sum is σ = 488871936. Its totient is φ = 81446400.

The previous prime is 218102141. The next prime is 218102201. The reversal of 218102180 is 81201812.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40655 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (10184832).

Almost surely, 2^218102180 is an apocalyptic number.

218102180 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 218102180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244435968).

218102180 is an abundant number, since it is smaller than the sum of its proper divisors (270769756).

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

218102180 is a wasteful number, since it uses less digits than its factorization.

218102180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 218102180 is about 14768.2829062826. The cubic root of 218102180 is about 601.9401823546.

Adding to 218102180 its reverse (81201812), we get a palindrome (299303992).

The spelling of 218102180 in words is "two hundred eighteen million, one hundred two thousand, one hundred eighty".