22105525320 has 224 divisors, whose sum is σ = 74760806520. Its totient is φ = 5879900160.

The previous prime is 22105525307. The next prime is 22105525327. The reversal of 22105525320 is 2352550122.

22105525320 is a `hidden beast` number, since 2 + 2 + 105 + 525 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8838632196 + 13266893124 = 94014^2 + 115182^2 .

It is a super-2 number, since 2×22105525320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22105525327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16241440 + ... + 16242800.

Almost surely, 2^22105525320 is an apocalyptic number.

22105525320 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 22105525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380403260).

22105525320 is an abundant number, since it is smaller than the sum of its proper divisors (52655281200).

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

22105525320 is a wasteful number, since it uses less digits than its factorization.

22105525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 22105525320 in words is "twenty-two billion, one hundred five million, five hundred twenty-five thousand, three hundred twenty".