22100212240 has 40 divisors (see below), whose sum is σ = 51407524440. Its totient is φ = 8835864576.

The previous prime is 22100212237. The next prime is 22100212241. The reversal of 22100212240 is 4221200122.

It can be written as a sum of positive squares in 4 ways, for example, as 102576384 + 21997635856 = 10128^2 + 148316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22100212241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105442 + ... + 235198.

It is an arithmetic number, because the mean of its divisors is an integer number (1285188111).

Almost surely, 2^22100212240 is an apocalyptic number.

22100212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100212240 is an abundant number, since it is smaller than the sum of its proper divisors (29307312200).

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

22100212240 is a wasteful number, since it uses less digits than its factorization.

22100212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131899 (or 131893 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22100212240 its reverse (4221200122), we get a palindrome (26321412362).

The spelling of 22100212240 in words is "twenty-two billion, one hundred million, two hundred twelve thousand, two hundred forty".