220242242022 has 64 divisors (see below), whose sum is σ = 490668136704. Its totient is φ = 65345149440.

The previous prime is 220242241991. The next prime is 220242242057.

220242242022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220242241983 and 220242242001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493233 + ... + 826899.

It is an arithmetic number, because the mean of its divisors is an integer number (7666689636).

Almost surely, 2^220242242022 is an apocalyptic number.

220242242022 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 220242242022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245334068352).

220242242022 is an abundant number, since it is smaller than the sum of its proper divisors (270425894682).

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

220242242022 is a wasteful number, since it uses less digits than its factorization.

220242242022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333893.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 220242 and 242022, that added together give a palindrome (462264).

The spelling of 220242242022 in words is "two hundred twenty billion, two hundred forty-two million, two hundred forty-two thousand, twenty-two".