23313200 has 60 divisors (see below), whose sum is σ = 56506800. Its totient is φ = 9242880.

The previous prime is 23313197. The next prime is 23313203. The reversal of 23313200 is 231332.

It is an interprime number because it is at equal distance from previous prime (23313197) and next prime (23313203).

It is not an unprimeable number, because it can be changed into a prime (23313203) 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 11 ways as a sum of consecutive naturals, for example, 66626 + ... + 66974.

It is an arithmetic number, because the mean of its divisors is an integer number (941780).

Almost surely, 2^23313200 is an apocalyptic number.

23313200 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 23313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28253400).

23313200 is an abundant number, since it is smaller than the sum of its proper divisors (33193600).

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

23313200 is a wasteful number, since it uses less digits than its factorization.

23313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23313200 is about 4828.3744676651. The cubic root of 23313200 is about 285.6717508109.

Adding to 23313200 its reverse (231332), we get a palindrome (23544532).

The spelling of 23313200 in words is "twenty-three million, three hundred thirteen thousand, two hundred".