422233343332224 has 128 divisors (see below), whose sum is σ = 1155800985403680. Its totient is φ = 136473168568320.

The previous prime is 422233343332183. The next prime is 422233343332277.

422233343332224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 46550367 + ... + 54876254.

Almost surely, 2^{422233343332224} is an apocalyptic number.

It is an amenable number.

422233343332224 is an abundant number, since it is smaller than the sum of its proper divisors (733567642071456).

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

422233343332224 is a wasteful number, since it uses less digits than its factorization.

422233343332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101426968 (or 101426956 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

The spelling of 422233343332224 in words is "four hundred twenty-two trillion, two hundred thirty-three billion, three hundred forty-three million, three hundred thirty-two thousand, two hundred twenty-four".