23240188224 has 280 divisors, whose sum is σ = 75863805600. Its totient is φ = 6976005120.

The previous prime is 23240188211. The next prime is 23240188253. The reversal of 23240188224 is 42288104232.

23240188224 is a `hidden beast` number, since 23 + 2 + 401 + 8 + 8 + 224 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6213747 + ... + 6217485.

Almost surely, 2^23240188224 is an apocalyptic number.

23240188224 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 23240188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37931902800).

23240188224 is an abundant number, since it is smaller than the sum of its proper divisors (52623617376).

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

23240188224 is a wasteful number, since it uses less digits than its factorization.

23240188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 23240188224 in words is "twenty-three billion, two hundred forty million, one hundred eighty-eight thousand, two hundred twenty-four".