22212833760 has 576 divisors, whose sum is σ = 87099038208. Its totient is φ = 5106696192.

The previous prime is 22212833653. The next prime is 22212833761. The reversal of 22212833760 is 6733821222.

22212833760 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 283 + 376 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212833761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70967364 + ... + 70967676.

It is an arithmetic number, because the mean of its divisors is an integer number (151213608).

Almost surely, 2^22212833760 is an apocalyptic number.

22212833760 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 22212833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43549519104).

22212833760 is an abundant number, since it is smaller than the sum of its proper divisors (64886204448).

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

22212833760 is a wasteful number, since it uses less digits than its factorization.

22212833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22212833760 in words is "twenty-two billion, two hundred twelve million, eight hundred thirty-three thousand, seven hundred sixty".