422213312224 has 96 divisors (see below), whose sum is σ = 938116523232. Its totient is φ = 185379840000.

The previous prime is 422213312203. The next prime is 422213312233.

422213312224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422213312192 and 422213312201.

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 15 ways as a sum of consecutive naturals, for example, 1312804 + ... + 1602460.

It is an arithmetic number, because the mean of its divisors is an integer number (9772047117).

Almost surely, 2^422213312224 is an apocalyptic number.

422213312224 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 422213312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469058261616).

422213312224 is an abundant number, since it is smaller than the sum of its proper divisors (515903211008).

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

422213312224 is a wasteful number, since it uses less digits than its factorization.

422213312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289820 (or 289812 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 422213 and 312224, that added together give a palindrome (734437).

The spelling of 422213312224 in words is "four hundred twenty-two billion, two hundred thirteen million, three hundred twelve thousand, two hundred twenty-four".