23232400 has 45 divisors (see below), whose sum is σ = 56048403. Its totient is φ = 9254400.

The previous prime is 23232379. The next prime is 23232403. The reversal of 23232400 is 423232.

The square root of 23232400 is 4820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 22886656 = 588^2 + 4784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23232403) 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 8 ways as a sum of consecutive naturals, for example, 96280 + ... + 96520.

Almost surely, 2^23232400 is an apocalyptic number.

23232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23232400 is the 4820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232400

23232400 is an abundant number, since it is smaller than the sum of its proper divisors (32816003).

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

23232400 is an equidigital number, since it uses as much as digits as its factorization.

23232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The cubic root of 23232400 is about 285.3413372043.

Multiplying 23232400 by its sum of digits (16), we get a square (371718400 = 19280²).

23232400 divided by its sum of digits (16) gives a square (1452025 = 1205²).

Adding to 23232400 its reverse (423232), we get a palindrome (23655632).

It can be divided in two parts, 23232 and 400, that added together give a palindrome (23632).

The spelling of 23232400 in words is "twenty-three million, two hundred thirty-two thousand, four hundred".