218803264 has 35 divisors (see below), whose sum is σ = 444525527. Its totient is φ = 106857408.

The previous prime is 218803253. The next prime is 218803267. The reversal of 218803264 is 462308812.

The square root of 218803264 is 14792.

It is a perfect power (a square), and thus also a powerful number.

218803264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=86.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218803267) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 5088427 + ... + 5088469.

Almost surely, 2^218803264 is an apocalyptic number.

218803264 is the 14792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218803264

218803264 is an abundant number, since it is smaller than the sum of its proper divisors (225722263).

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

218803264 is an frugal number, since it uses more digits than its factorization.

218803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 218803264 is about 602.5844663865.

The spelling of 218803264 in words is "two hundred eighteen million, eight hundred three thousand, two hundred sixty-four".