22272947424 has 576 divisors, whose sum is σ = 81202028544. Its totient is φ = 5634551808.

The previous prime is 22272947371. The next prime is 22272947479. The reversal of 22272947424 is 42474927222.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22272947424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99878577 + ... + 99878799.

It is an arithmetic number, because the mean of its divisors is an integer number (140975744).

Almost surely, 2^22272947424 is an apocalyptic number.

22272947424 is a gapful number since it is divisible by the number (24) 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 22272947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40601014272).

22272947424 is an abundant number, since it is smaller than the sum of its proper divisors (58929081120).

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

22272947424 is a wasteful number, since it uses less digits than its factorization.

22272947424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 22272947424 in words is "twenty-two billion, two hundred seventy-two million, nine hundred forty-seven thousand, four hundred twenty-four".