23101200 has 300 divisors, whose sum is σ = 89303808. Its totient is φ = 5702400.

The previous prime is 23101159. The next prime is 23101213. The reversal of 23101200 is 210132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 745185 + ... + 745215.

Almost surely, 2^23101200 is an apocalyptic number.

23101200 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 23101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651904).

23101200 is an abundant number, since it is smaller than the sum of its proper divisors (66202608).

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

23101200 is a wasteful number, since it uses less digits than its factorization.

23101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23101200 is about 4806.3707722147. The cubic root of 23101200 is about 284.8031882192.

Adding to 23101200 its reverse (210132), we get a palindrome (23311332).

The spelling of 23101200 in words is "twenty-three million, one hundred one thousand, two hundred".