21202972224 has 224 divisors, whose sum is σ = 66669367296. Its totient is φ = 5821009920.

The previous prime is 21202972151. The next prime is 21202972247. The reversal of 21202972224 is 42227920212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21202972224² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3689097 + ... + 3694839.

It is an arithmetic number, because the mean of its divisors is an integer number (297631104).

Almost surely, 2^21202972224 is an apocalyptic number.

21202972224 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 21202972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33334683648).

21202972224 is an abundant number, since it is smaller than the sum of its proper divisors (45466395072).

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

21202972224 is a wasteful number, since it uses less digits than its factorization.

21202972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 21202972224 in words is "twenty-one billion, two hundred two million, nine hundred seventy-two thousand, two hundred twenty-four".