22132131840 has 1296 divisors, whose sum is σ = 99952971300. Its totient is φ = 4508614656.

The previous prime is 22132131839. The next prime is 22132131841. The reversal of 22132131840 is 4813123122.

22132131840 is a `hidden beast` number, since 2 + 21 + 321 + 318 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22132131839) and next prime (22132131841).

It can be written as a sum of positive squares in 6 ways, for example, as 2406491136 + 19725640704 = 49056^2 + 140448^2 .

It is not an unprimeable number, because it can be changed into a prime (22132131841) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 763176946 + ... + 763176974.

Almost surely, 2^22132131840 is an apocalyptic number.

22132131840 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 22132131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49976485650).

22132131840 is an abundant number, since it is smaller than the sum of its proper divisors (77820839460).

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

22132131840 is a wasteful number, since it uses less digits than its factorization.

22132131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22132131840 its reverse (4813123122), we get a palindrome (26945254962).

The spelling of 22132131840 in words is "twenty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, eight hundred forty".