23148800 has 54 divisors (see below), whose sum is σ = 57312738. Its totient is φ = 9256960.

The previous prime is 23148799. The next prime is 23148803. The reversal of 23148800 is 884132.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 22886656 = 512^2 + 4784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23148800.

It is not an unprimeable number, because it can be changed into a prime (23148803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4592 + ... + 8208.

It is an arithmetic number, because the mean of its divisors is an integer number (1061347).

Almost surely, 2^23148800 is an apocalyptic number.

23148800 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 23148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656369).

23148800 is an abundant number, since it is smaller than the sum of its proper divisors (34163938).

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

23148800 is an equidigital number, since it uses as much as digits as its factorization.

23148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 23148800 is about 4811.3199852016. The cubic root of 23148800 is about 284.9986662500.

The spelling of 23148800 in words is "twenty-three million, one hundred forty-eight thousand, eight hundred".