23538100 has 36 divisors (see below), whose sum is σ = 52332588. Its totient is φ = 9184000.

The previous prime is 23538089. The next prime is 23538103. The reversal of 23538100 is 183532.

It can be written as a sum of positive squares in 6 ways, for example, as 3984016 + 19554084 = 1996^2 + 4422^2 .

It is a super-2 number, since 2×23538100² = 1108084303220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23538103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 6970.

It is an arithmetic number, because the mean of its divisors is an integer number (1453683).

Almost surely, 2^23538100 is an apocalyptic number.

23538100 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 23538100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166294).

23538100 is an abundant number, since it is smaller than the sum of its proper divisors (28794488).

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

23538100 is a wasteful number, since it uses less digits than its factorization.

23538100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 23538100 is about 4851.6079808657. The cubic root of 23538100 is about 286.5874277717.

The spelling of 23538100 in words is "twenty-three million, five hundred thirty-eight thousand, one hundred".