22465828224 has 192 divisors, whose sum is σ = 76620311040. Its totient is φ = 6418745856.

The previous prime is 22465828201. The next prime is 22465828249. The reversal of 22465828224 is 42282856422.

22465828224 is a `hidden beast` number, since 2 + 2 + 46 + 582 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 22465828224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166137 + ... + 269319.

It is an arithmetic number, because the mean of its divisors is an integer number (399064120).

Almost surely, 2^22465828224 is an apocalyptic number.

22465828224 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 22465828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38310155520).

22465828224 is an abundant number, since it is smaller than the sum of its proper divisors (54154482816).

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

22465828224 is an equidigital number, since it uses as much as digits as its factorization.

22465828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103219 (or 103195 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 22465828224 in words is "twenty-two billion, four hundred sixty-five million, eight hundred twenty-eight thousand, two hundred twenty-four".