22401322102224 has 60 divisors (see below), whose sum is σ = 67515095785956. Its totient is φ = 6892714492416.

The previous prime is 22401322102223. The next prime is 22401322102253. The reversal of 22401322102224 is 42220122310422.

22401322102224 is a `hidden beast` number, since 2 + 2 + 401 + 3 + 2 + 210 + 22 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869123623824 + 21532198478400 = 932268^2 + 4640280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22401322102223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5983257237 + ... + 5983260980.

Almost surely, 2^{22401322102224} is an apocalyptic number.

22401322102224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22401322102224 is an abundant number, since it is smaller than the sum of its proper divisors (45113773683732).

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

22401322102224 is a wasteful number, since it uses less digits than its factorization.

22401322102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966518244 (or 11966518235 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22401322102224 its reverse (42220122310422), we get a palindrome (64621444412646).

The spelling of 22401322102224 in words is "twenty-two trillion, four hundred one billion, three hundred twenty-two million, one hundred two thousand, two hundred twenty-four".