22505223201300 has 864 divisors, whose sum is σ = 86488976351232. Its totient is φ = 4777892904960.

The previous prime is 22505223201281. The next prime is 22505223201337. The reversal of 22505223201300 is 310232250522.

22505223201300 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 522 + 3 + 2 + 0 + 130 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2625123814 + ... + 2625132386.

It is an arithmetic number, because the mean of its divisors is an integer number (100102981888).

Almost surely, 2^{22505223201300} is an apocalyptic number.

22505223201300 is a gapful number since it is divisible by the number (20) 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 22505223201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43244488175616).

22505223201300 is an abundant number, since it is smaller than the sum of its proper divisors (63983753149932).

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

22505223201300 is a wasteful number, since it uses less digits than its factorization.

22505223201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 22505223201300 its reverse (310232250522), we get a palindrome (22815455451822).

The spelling of 22505223201300 in words is "twenty-two trillion, five hundred five billion, two hundred twenty-three million, two hundred one thousand, three hundred".