218224272 has 80 divisors (see below), whose sum is σ = 678210560. Its totient is φ = 59066496.

The previous prime is 218224271. The next prime is 218224273. The reversal of 218224272 is 272422812.

It is an interprime number because it is at equal distance from previous prime (218224271) and next prime (218224273).

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 (218224271) by changing a digit.

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, 10708 + ... + 23475.

It is an arithmetic number, because the mean of its divisors is an integer number (8477632).

Almost surely, 2^218224272 is an apocalyptic number.

It is an amenable number.

218224272 is an abundant number, since it is smaller than the sum of its proper divisors (459986288).

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

218224272 is a wasteful number, since it uses less digits than its factorization.

218224272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34220 (or 34214 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 218224272 is about 14772.4159161594. The cubic root of 218224272 is about 602.0524819681.

The spelling of 218224272 in words is "two hundred eighteen million, two hundred twenty-four thousand, two hundred seventy-two".