22102032240 has 120 divisors (see below), whose sum is σ = 75165754560. Its totient is φ = 5819254272.

The previous prime is 22102032233. The next prime is 22102032313. The reversal of 22102032240 is 4223020122.

22102032240 is a `hidden beast` number, since 221 + 0 + 203 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137407 + ... + 251166.

It is an arithmetic number, because the mean of its divisors is an integer number (626381288).

Almost surely, 2^22102032240 is an apocalyptic number.

22102032240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102032240 is an abundant number, since it is smaller than the sum of its proper divisors (53063722320).

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

22102032240 is a wasteful number, since it uses less digits than its factorization.

22102032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388671 (or 388662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22102032240 its reverse (4223020122), we get a palindrome (26325052362).

The spelling of 22102032240 in words is "twenty-two billion, one hundred two million, thirty-two thousand, two hundred forty".