22858228224 has 240 divisors, whose sum is σ = 72972251352. Its totient is φ = 6842548224.

The previous prime is 22858228181. The next prime is 22858228241. The reversal of 22858228224 is 42282285822.

22858228224 is a `hidden beast` number, since 2 + 28 + 582 + 28 + 2 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19309881600 + 3548346624 = 138960^2 + 59568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22858228224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211292 + ... + 2221604.

Almost surely, 2^22858228224 is an apocalyptic number.

22858228224 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 22858228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36486125676).

22858228224 is an abundant number, since it is smaller than the sum of its proper divisors (50114023128).

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

22858228224 is a wasteful number, since it uses less digits than its factorization.

22858228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10368 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The spelling of 22858228224 in words is "twenty-two billion, eight hundred fifty-eight million, two hundred twenty-eight thousand, two hundred twenty-four".