23201200 has 60 divisors (see below), whose sum is σ = 60819768. Its totient is φ = 8435200.

The previous prime is 23201197. The next prime is 23201251. The reversal of 23201200 is 210232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764 + ... + 7036.

Almost surely, 2^23201200 is an apocalyptic number.

23201200 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 23201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30409884).

23201200 is an abundant number, since it is smaller than the sum of its proper divisors (37618568).

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

23201200 is a wasteful number, since it uses less digits than its factorization.

23201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23201200 is about 4816.7623981259. The cubic root of 23201200 is about 285.2135467339.

Adding to 23201200 its reverse (210232), we get a palindrome (23411432).

The spelling of 23201200 in words is "twenty-three million, two hundred one thousand, two hundred".