220832 has 24 divisors (see below), whose sum is σ = 445536. Its totient is φ = 107712.

The previous prime is 220811. The next prime is 220841. The reversal of 220832 is 238022.

220832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 220832.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220832.

It is an unprimeable number.

220832 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 3 ways as a sum of consecutive naturals, for example, 2093 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2²²⁰⁸³² is an apocalyptic number.

It is an amenable number.

220832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

220832 is a wasteful number, since it uses less digits than its factorization.

220832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 220832 is about 469.9276540064. The cubic root of 220832 is about 60.4441120384. Note that the first 3 decimals are identical.

Adding to 220832 its reverse (238022), we get a palindrome (458854).

The spelling of 220832 in words is "two hundred twenty thousand, eight hundred thirty-two".