22132333100 has 72 divisors (see below), whose sum is σ = 50242096800. Its totient is φ = 8451520000.

The previous prime is 22132333079. The next prime is 22132333219. The reversal of 22132333100 is 133323122.

It is a super-2 number, since 2×22132333100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215225 + ... + 300975.

It is an arithmetic number, because the mean of its divisors is an integer number (697806900).

Almost surely, 2^22132333100 is an apocalyptic number.

22132333100 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 22132333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25121048400).

22132333100 is an abundant number, since it is smaller than the sum of its proper divisors (28109763700).

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

22132333100 is a wasteful number, since it uses less digits than its factorization.

22132333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85883 (or 85876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22132333100 its reverse (133323122), we get a palindrome (22265656222).

The spelling of 22132333100 in words is "twenty-two billion, one hundred thirty-two million, three hundred thirty-three thousand, one hundred".