23114400 has 72 divisors (see below), whose sum is σ = 75245184. Its totient is φ = 6163200.

The previous prime is 23114387. The next prime is 23114401. The reversal of 23114400 is 441132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23114400.

It is not an unprimeable number, because it can be changed into a prime (23114401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2416 + ... + 7215.

It is an arithmetic number, because the mean of its divisors is an integer number (1045072).

Almost surely, 2^23114400 is an apocalyptic number.

23114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23114400 is an abundant number, since it is smaller than the sum of its proper divisors (52130784).

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

23114400 is a wasteful number, since it uses less digits than its factorization.

23114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23114400 is about 4807.7437535709. The cubic root of 23114400 is about 284.8574232989.

Adding to 23114400 its reverse (441132), we get a palindrome (23555532).

The spelling of 23114400 in words is "twenty-three million, one hundred fourteen thousand, four hundred".