422204402224 has 160 divisors (see below), whose sum is σ = 956510208000. Its totient is φ = 178411806720.

The previous prime is 422204402209. The next prime is 422204402231.

422204402224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422204402224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422204402192 and 422204402201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90813852 + ... + 90818500.

It is an arithmetic number, because the mean of its divisors is an integer number (5978188800).

Almost surely, 2^422204402224 is an apocalyptic number.

422204402224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422204402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478255104000).

422204402224 is an abundant number, since it is smaller than the sum of its proper divisors (534305805776).

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

422204402224 is a wasteful number, since it uses less digits than its factorization.

422204402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 422204 and 402224, that added together give a palindrome (824428).

The spelling of 422204402224 in words is "four hundred twenty-two billion, two hundred four million, four hundred two thousand, two hundred twenty-four".