23059200 has 108 divisors (see below), whose sum is σ = 76163528. Its totient is φ = 6144000.

The previous prime is 23059171. The next prime is 23059207. The reversal of 23059200 is 295032.

23059200 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23059207) 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, 18600 + ... + 19800.

Almost surely, 2^23059200 is an apocalyptic number.

23059200 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 23059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38081764).

23059200 is an abundant number, since it is smaller than the sum of its proper divisors (53104328).

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

23059200 is a wasteful number, since it uses less digits than its factorization.

23059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 23059200 is about 4801.9995835069. Note that the first 3 decimals coincide. The cubic root of 23059200 is about 284.6304844867.

The spelling of 23059200 in words is "twenty-three million, fifty-nine thousand, two hundred".