218232 has 48 divisors (see below), whose sum is σ = 677040. Its totient is φ = 62208.

The previous prime is 218227. The next prime is 218233. The reversal of 218232 is 232812.

It is a happy number.

218232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218233) by changing a digit.

218232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2²¹⁸²³² 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 218232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520).

218232 is an abundant number, since it is smaller than the sum of its proper divisors (458808).

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

218232 is a wasteful number, since it uses less digits than its factorization.

218232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 218232 is about 467.1530798357. The cubic root of 218232 is about 60.2059588734.

The spelling of 218232 in words is "two hundred eighteen thousand, two hundred thirty-two".