218102912 has 64 divisors (see below), whose sum is σ = 446808960. Its totient is φ = 106014720.

The previous prime is 218102909. The next prime is 218102921. The reversal of 218102912 is 219201812.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935948 + ... + 936180.

It is an arithmetic number, because the mean of its divisors is an integer number (6981390).

Almost surely, 2^218102912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223404480).

218102912 is an abundant number, since it is smaller than the sum of its proper divisors (228706048).

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

218102912 is a wasteful number, since it uses less digits than its factorization.

218102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 218102912 is about 14768.3076891024. The cubic root of 218102912 is about 601.9408557694.

The spelling of 218102912 in words is "two hundred eighteen million, one hundred two thousand, nine hundred twelve".