218182272 has 256 divisors, whose sum is σ = 742625280. Its totient is φ = 55111680.

The previous prime is 218182271. The next prime is 218182273. The reversal of 218182272 is 272281812.

It is an interprime number because it is at equal distance from previous prime (218182271) and next prime (218182273).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (218182271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389618 + ... + 1389774.

It is an arithmetic number, because the mean of its divisors is an integer number (2900880).

Almost surely, 2^218182272 is an apocalyptic number.

218182272 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 218182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371312640).

218182272 is an abundant number, since it is smaller than the sum of its proper divisors (524443008).

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

218182272 is a wasteful number, since it uses less digits than its factorization.

218182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 218182272 is about 14770.9942793300. The cubic root of 218182272 is about 602.0138553045.

It can be divided in two parts, 21818 and 2272, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 218182272 in words is "two hundred eighteen million, one hundred eighty-two thousand, two hundred seventy-two".