23117200 has 30 divisors (see below), whose sum is σ = 55540034. Its totient is φ = 9246720.

The previous prime is 23117197. The next prime is 23117209. The reversal of 23117200 is 271132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3154176 + 19963024 = 1776^2 + 4468^2 .

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 (23117209) 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 5 ways as a sum of consecutive naturals, for example, 28497 + ... + 29296.

Almost surely, 2^23117200 is an apocalyptic number.

23117200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23117200 is an abundant number, since it is smaller than the sum of its proper divisors (32422834).

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

23117200 is a wasteful number, since it uses less digits than its factorization.

23117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57811 (or 57800 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 23117200 is about 4808.0349416368. The cubic root of 23117200 is about 284.8689250551.

Adding to 23117200 its reverse (271132), we get a palindrome (23388332).

The spelling of 23117200 in words is "twenty-three million, one hundred seventeen thousand, two hundred".