22301138400500 has 48 divisors (see below), whose sum is σ = 49187920895568. Its totient is φ = 8832134000000.

The previous prime is 22301138400451. The next prime is 22301138400509. The reversal of 22301138400500 is 500483110322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1098392033764 + 21202746366736 = 1048042^2 + 4604644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301138400509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220752851 + ... + 220853850.

It is an arithmetic number, because the mean of its divisors is an integer number (1024748351991).

Almost surely, 2^{22301138400500} is an apocalyptic number.

22301138400500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301138400500 is an abundant number, since it is smaller than the sum of its proper divisors (26886782495068).

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

22301138400500 is a wasteful number, since it uses less digits than its factorization.

22301138400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441606821 (or 441606809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 22301138400500 in words is "twenty-two trillion, three hundred one billion, one hundred thirty-eight million, four hundred thousand, five hundred".