422233545332224 has 80 divisors (see below), whose sum is σ = 863297862989760. Its totient is φ = 206198515353600.

The previous prime is 422233545332167. The next prime is 422233545332311.

422233545332224 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546733747 + ... + 547505485.

It is an arithmetic number, because the mean of its divisors is an integer number (10791223287372).

Almost surely, 2^{422233545332224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422233545332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431648931494880).

422233545332224 is an abundant number, since it is smaller than the sum of its proper divisors (441064317657536).

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

422233545332224 is an equidigital number, since it uses as much as digits as its factorization.

422233545332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796651 (or 796635 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 46.

The spelling of 422233545332224 in words is "four hundred twenty-two trillion, two hundred thirty-three billion, five hundred forty-five million, three hundred thirty-two thousand, two hundred twenty-four".