218311080 has 64 divisors (see below), whose sum is σ = 705317760. Its totient is φ = 53737728.

The previous prime is 218311073. The next prime is 218311091. The reversal of 218311080 is 80113812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 218311080.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68412 + ... + 71531.

It is an arithmetic number, because the mean of its divisors is an integer number (11020590).

Almost surely, 2^218311080 is an apocalyptic number.

218311080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218311080 is an abundant number, since it is smaller than the sum of its proper divisors (487006680).

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

218311080 is a wasteful number, since it uses less digits than its factorization.

218311080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139970 (or 139966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 218311080 is about 14775.3538028705. The cubic root of 218311080 is about 602.1323020586.

Adding to 218311080 its reverse (80113812), we get a palindrome (298424892).

The spelling of 218311080 in words is "two hundred eighteen million, three hundred eleven thousand, eighty".