22232321100 has 180 divisors, whose sum is σ = 78620389848. Its totient is φ = 5389632000.

The previous prime is 22232321051. The next prime is 22232321101. The reversal of 22232321100 is 112323222.

22232321100 is a `hidden beast` number, since 222 + 323 + 21 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22232321100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22232321101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35661 + ... + 213860.

Almost surely, 2^22232321100 is an apocalyptic number.

22232321100 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 22232321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39310194924).

22232321100 is an abundant number, since it is smaller than the sum of its proper divisors (56388068748).

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

22232321100 is a wasteful number, since it uses less digits than its factorization.

22232321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249558 (or 249542 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22232321100 its reverse (112323222), we get a palindrome (22344644322).

The spelling of 22232321100 in words is "twenty-two billion, two hundred thirty-two million, three hundred twenty-one thousand, one hundred".