220932 has 54 divisors (see below), whose sum is σ = 624078. Its totient is φ = 65664.

The previous prime is 220931. The next prime is 220933. The reversal of 220932 is 239022.

220932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220931) and next prime (220933).

It can be written as a sum of positive squares in only one way, i.e., 207936 + 12996 = 456^2 + 114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11619 + ... + 11637.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

2²²⁰⁹³² 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 220932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312039).

220932 is an abundant number, since it is smaller than the sum of its proper divisors (403146).

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

220932 is a wasteful number, since it uses less digits than its factorization.

220932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 220932 is about 470.0340413204. The cubic root of 220932 is about 60.4532343562.

Adding to 220932 its reverse (239022), we get a palindrome (459954).

The spelling of 220932 in words is "two hundred twenty thousand, nine hundred thirty-two".