218316272 has 20 divisors (see below), whose sum is σ = 423696840. Its totient is φ = 108975168.

The previous prime is 218316257. The next prime is 218316277. The reversal of 218316272 is 272613812.

218316272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218316277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1322 + ... + 20937.

It is an arithmetic number, because the mean of its divisors is an integer number (21184842).

Almost surely, 2^218316272 is an apocalyptic number.

It is an amenable number.

218316272 is a deficient number, since it is larger than the sum of its proper divisors (205380568).

218316272 is a wasteful number, since it uses less digits than its factorization.

218316272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22880 (or 22874 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 218316272 is about 14775.5294998183. The cubic root of 218316272 is about 602.1370754400.

The spelling of 218316272 in words is "two hundred eighteen million, three hundred sixteen thousand, two hundred seventy-two".