23282182224 has 180 divisors, whose sum is σ = 76237900596. Its totient is φ = 6613254144.

The previous prime is 23282182211. The next prime is 23282182271. The reversal of 23282182224 is 42228128232.

It is a Cunningham number, because it is equal to 152585²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 9412880400 + 13869301824 = 97020^2 + 117768^2 .

It is a super-2 number, since 2×23282182224² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1211152 + ... + 1230224.

Almost surely, 2^23282182224 is an apocalyptic number.

23282182224 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 23282182224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38118950298).

23282182224 is an abundant number, since it is smaller than the sum of its proper divisors (52955718372).

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

23282182224 is a wasteful number, since it uses less digits than its factorization.

23282182224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19274 (or 19258 counting only the distinct ones).

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

The spelling of 23282182224 in words is "twenty-three billion, two hundred eighty-two million, one hundred eighty-two thousand, two hundred twenty-four".