22300032100 has 144 divisors (see below), whose sum is σ = 51964729600. Its totient is φ = 8281595520.

The previous prime is 22300032091. The next prime is 22300032101. The reversal of 22300032100 is 123000322.

It is a happy number.

It is a super-2 number, since 2×22300032100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22300032101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36025591 + ... + 36026209.

Almost surely, 2^22300032100 is an apocalyptic number.

22300032100 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 22300032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25982364800).

22300032100 is an abundant number, since it is smaller than the sum of its proper divisors (29664697500).

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

22300032100 is a wasteful number, since it uses less digits than its factorization.

22300032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22300032100 its reverse (123000322), we get a palindrome (22423032422).

The spelling of 22300032100 in words is "twenty-two billion, three hundred million, thirty-two thousand, one hundred".