23328180 has 144 divisors (see below), whose sum is σ = 75675600. Its totient is φ = 5806080.

The previous prime is 23328113. The next prime is 23328197. The reversal of 23328180 is 8182332.

It can be written as a sum of positive squares in 8 ways, for example, as 1313316 + 22014864 = 1146^2 + 4692^2 .

It is a super-2 number, since 2×23328180² = 1088407964224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213966 + ... + 214074.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

It is the magic constant of a 360 × 360 magic square.

Almost surely, 2^23328180 is an apocalyptic number.

23328180 is a gapful number since it is divisible by the number (20) 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 23328180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800).

23328180 is an abundant number, since it is smaller than the sum of its proper divisors (52347420).

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

23328180 is a wasteful number, since it uses less digits than its factorization.

23328180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23328180 is about 4829.9254652634. The cubic root of 23328180 is about 285.7329242603.

The spelling of 23328180 in words is "twenty-three million, three hundred twenty-eight thousand, one hundred eighty".