22830138100 has 288 divisors, whose sum is σ = 68251631616. Its totient is φ = 6405273600.

The previous prime is 22830138073. The next prime is 22830138113. The reversal of 22830138100 is 183103822.

It is a super-2 number, since 2×22830138100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3006909 + ... + 3014491.

It is an arithmetic number, because the mean of its divisors is an integer number (236984832).

Almost surely, 2^22830138100 is an apocalyptic number.

22830138100 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 22830138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34125815808).

22830138100 is an abundant number, since it is smaller than the sum of its proper divisors (45421493516).

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

22830138100 is a wasteful number, since it uses less digits than its factorization.

22830138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 22830138100 in words is "twenty-two billion, eight hundred thirty million, one hundred thirty-eight thousand, one hundred".