23513200 has 60 divisors (see below), whose sum is σ = 58467240. Its totient is φ = 9076480.

The previous prime is 23513137. The next prime is 23513201. The reversal of 23513200 is 231532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23513201) 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 11 ways as a sum of consecutive naturals, for example, 10587 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (974454).

Almost surely, 2^23513200 is an apocalyptic number.

23513200 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 23513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29233620).

23513200 is an abundant number, since it is smaller than the sum of its proper divisors (34954040).

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

23513200 is a wasteful number, since it uses less digits than its factorization.

23513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2063 counting only the distinct ones).

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

The square root of 23513200 is about 4849.0411423291. The cubic root of 23513200 is about 286.4863357162.

Adding to 23513200 its reverse (231532), we get a palindrome (23744732).

The spelling of 23513200 in words is "twenty-three million, five hundred thirteen thousand, two hundred".