22247989920 has 288 divisors, whose sum is σ = 82044183312. Its totient is φ = 5457494016.

The previous prime is 22247989909. The next prime is 22247989927. The reversal of 22247989920 is 2998974222.

22247989920 is a `hidden beast` number, since 2 + 2 + 2 + 479 + 89 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 628404624 + 21619585296 = 25068^2 + 147036^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (22247989927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5857462 + ... + 5861258.

Almost surely, 2^22247989920 is an apocalyptic number.

22247989920 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 22247989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41022091656).

22247989920 is an abundant number, since it is smaller than the sum of its proper divisors (59796193392).

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

22247989920 is a wasteful number, since it uses less digits than its factorization.

22247989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 22247989920 in words is "twenty-two billion, two hundred forty-seven million, nine hundred eighty-nine thousand, nine hundred twenty".