218342952 has 80 divisors (see below), whose sum is σ = 622036800. Its totient is φ = 71534880.

The previous prime is 218342941. The next prime is 218342953. The reversal of 218342952 is 259243812.

It is a happy number.

218342952 is a `hidden beast` number, since 2 + 183 + 429 + 52 = 666.

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 (218342953) 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 19 ways as a sum of consecutive naturals, for example, 35377 + ... + 41087.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^218342952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218342952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

218342952 is an abundant number, since it is smaller than the sum of its proper divisors (403693848).

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

218342952 is a wasteful number, since it uses less digits than its factorization.

218342952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5775 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 218342952 is about 14776.4323163611. The cubic root of 218342952 is about 602.1616031014.

The spelling of 218342952 in words is "two hundred eighteen million, three hundred forty-two thousand, nine hundred fifty-two".