220262022 has 96 divisors (see below), whose sum is σ = 522961920. Its totient is φ = 66769920.

The previous prime is 220261991. The next prime is 220262057.

220262022 is a `hidden beast` number, since 2 + 20 + 2 + 620 + 22 = 666.

220262022 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 220261986 and 220262004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1141158 + ... + 1141350.

It is an arithmetic number, because the mean of its divisors is an integer number (5447520).

Almost surely, 2^220262022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220262022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261480960).

220262022 is an abundant number, since it is smaller than the sum of its proper divisors (302699898).

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

220262022 is a wasteful number, since it uses less digits than its factorization.

220262022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220262022 is about 14841.2271056001. The cubic root of 220262022 is about 603.9206418112.

The spelling of 220262022 in words is "two hundred twenty million, two hundred sixty-two thousand, twenty-two".