22414960224 has 360 divisors, whose sum is σ = 73128475728. Its totient is φ = 6721228800.

The previous prime is 22414960213. The next prime is 22414960237. The reversal of 22414960224 is 42206941422.

22414960224 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 49 + 602 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17228374 + ... + 17229674.

Almost surely, 2^22414960224 is an apocalyptic number.

22414960224 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 22414960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36564237864).

22414960224 is an abundant number, since it is smaller than the sum of its proper divisors (50713515504).

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

22414960224 is a wasteful number, since it uses less digits than its factorization.

22414960224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22414960224 in words is "twenty-two billion, four hundred fourteen million, nine hundred sixty thousand, two hundred twenty-four".