218132264 has 64 divisors (see below), whose sum is σ = 481075200. Its totient is φ = 90788544.

The previous prime is 218132231. The next prime is 218132281. The reversal of 218132264 is 462231812.

It is a happy number.

218132264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 470897 + ... + 471359.

It is an arithmetic number, because the mean of its divisors is an integer number (7516800).

Almost surely, 2^218132264 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 218132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240537600).

218132264 is an abundant number, since it is smaller than the sum of its proper divisors (262942936).

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

218132264 is a wasteful number, since it uses less digits than its factorization.

218132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 218132264 is about 14769.3014052798. The cubic root of 218132264 is about 601.9678573582.

The spelling of 218132264 in words is "two hundred eighteen million, one hundred thirty-two thousand, two hundred sixty-four".