22213322404224 has 256 divisors, whose sum is σ = 68413463500800. Its totient is φ = 6254710824960.

The previous prime is 22213322404193. The next prime is 22213322404271. The reversal of 22213322404224 is 42240422331222.

It is a congruent number.

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, 114785754 + ... + 114979110.

It is an arithmetic number, because the mean of its divisors is an integer number (267240091800).

Almost surely, 2^{22213322404224} is an apocalyptic number.

22213322404224 is a gapful number since it is divisible by the number (24) 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 22213322404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34206731750400).

22213322404224 is an abundant number, since it is smaller than the sum of its proper divisors (46200141096576).

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

22213322404224 is a wasteful number, since it uses less digits than its factorization.

22213322404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194001 (or 193989 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 22213322404224 its reverse (42240422331222), we get a palindrome (64453744735446).

The spelling of 22213322404224 in words is "twenty-two trillion, two hundred thirteen billion, three hundred twenty-two million, four hundred four thousand, two hundred twenty-four".