218238832 has 80 divisors (see below), whose sum is σ = 496476160. Its totient is φ = 91010304.

The previous prime is 218238827. The next prime is 218238863. The reversal of 218238832 is 238832812.

218238832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 218238791 and 218238800.

It is a congruent number.

It is an unprimeable number.

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, 952894 + ... + 953122.

It is an arithmetic number, because the mean of its divisors is an integer number (6205952).

Almost surely, 2^218238832 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 218238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248238080).

218238832 is an abundant number, since it is smaller than the sum of its proper divisors (278237328).

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

218238832 is a wasteful number, since it uses less digits than its factorization.

218238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 218238832 is about 14772.9087183263. The cubic root of 218238832 is about 602.0658713879.

It can be divided in two parts, 2182 and 38832, that added together give a palindrome (41014).

The spelling of 218238832 in words is "two hundred eighteen million, two hundred thirty-eight thousand, eight hundred thirty-two".