220542 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 61248.

The previous prime is 220537. The next prime is 220543. The reversal of 220542 is 245022.

220542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

220542 is a Rhonda number in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2434 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²²⁰⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

220542 is an abundant number, since it is smaller than the sum of its proper divisors (297858).

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

220542 is a wasteful number, since it uses less digits than its factorization.

220542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 220542 is about 469.6189945051. The cubic root of 220542 is about 60.4176417335.

Adding to 220542 its reverse (245022), we get a palindrome (465564).

The spelling of 220542 in words is "two hundred twenty thousand, five hundred forty-two".