220242 has 32 divisors (see below), whose sum is σ = 497664. Its totient is φ = 64400.

The previous prime is 220217. The next prime is 220243. The reversal of 220242 is 242022.

It is a happy number.

220242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

220242 is a modest number, since divided by 242 gives 22 as remainder.

It is not an unprimeable number, because it can be changed into a prime (220243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2²²⁰²⁴² is an apocalyptic number.

220242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832).

220242 is an abundant number, since it is smaller than the sum of its proper divisors (277422).

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

220242 is a wasteful number, since it uses less digits than its factorization.

220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220242 is about 469.2994779456. The cubic root of 220242 is about 60.3902342295.

Adding to 220242 its reverse (242022), we get a palindrome (462264).

The spelling of 220242 in words is "two hundred twenty thousand, two hundred forty-two", and thus it is an iban number.