23531200 has 168 divisors, whose sum is σ = 72566784. Its totient is φ = 7296000.

The previous prime is 23531143. The next prime is 23531203. The reversal of 23531200 is 213532.

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

It is not an unprimeable number, because it can be changed into a prime (23531203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123105 + ... + 123295.

Almost surely, 2^23531200 is an apocalyptic number.

23531200 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 23531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283392).

23531200 is an abundant number, since it is smaller than the sum of its proper divisors (49035584).

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

23531200 is a wasteful number, since it uses less digits than its factorization.

23531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23531200 is about 4850.8968242996. The cubic root of 23531200 is about 286.5594214542.

Adding to 23531200 its reverse (213532), we get a palindrome (23744732).

It can be divided in two parts, 2353 and 1200, that added together give a palindrome (3553).

The spelling of 23531200 in words is "twenty-three million, five hundred thirty-one thousand, two hundred".