218842272 has 144 divisors (see below), whose sum is σ = 697630752. Its totient is φ = 64488960.

The previous prime is 218842249. The next prime is 218842279. The reversal of 218842272 is 272248812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218842279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116283 + ... + 118149.

It is an arithmetic number, because the mean of its divisors is an integer number (4844658).

Almost surely, 2^218842272 is an apocalyptic number.

218842272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348815376).

218842272 is an abundant number, since it is smaller than the sum of its proper divisors (478788480).

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

218842272 is a wasteful number, since it uses less digits than its factorization.

218842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1920 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 218842272 is about 14793.3184918057. The cubic root of 218842272 is about 602.6202736192.

The spelling of 218842272 in words is "two hundred eighteen million, eight hundred forty-two thousand, two hundred seventy-two".