22301313400224 has 144 divisors (see below), whose sum is σ = 64771909832448. Its totient is φ = 7275246137856.

The previous prime is 22301313400213. The next prime is 22301313400279. The reversal of 22301313400224 is 42200431310322.

22301313400224 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 1 + 31 + 3 + 400 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 506860594 + ... + 506904590.

It is an arithmetic number, because the mean of its divisors is an integer number (449804929392).

Almost surely, 2^{22301313400224} is an apocalyptic number.

22301313400224 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 22301313400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32385954916224).

22301313400224 is an abundant number, since it is smaller than the sum of its proper divisors (42470596432224).

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

22301313400224 is a wasteful number, since it uses less digits than its factorization.

22301313400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81507 (or 81496 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22301313400224 its reverse (42200431310322), we get a palindrome (64501744710546).

The spelling of 22301313400224 in words is "twenty-two trillion, three hundred one billion, three hundred thirteen million, four hundred thousand, two hundred twenty-four".