22253538240 has 560 divisors, whose sum is σ = 81972741312. Its totient is φ = 5727780864.

The previous prime is 22253538233. The next prime is 22253538269. The reversal of 22253538240 is 4283535222.

22253538240 is a `hidden beast` number, since 2 + 2 + 2 + 535 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22253538195 and 22253538204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133254637 + ... + 133254803.

Almost surely, 2^22253538240 is an apocalyptic number.

22253538240 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 22253538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40986370656).

22253538240 is an abundant number, since it is smaller than the sum of its proper divisors (59719203072).

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

22253538240 is a wasteful number, since it uses less digits than its factorization.

22253538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 22253538240 in words is "twenty-two billion, two hundred fifty-three million, five hundred thirty-eight thousand, two hundred forty".