23133200 has 60 divisors (see below), whose sum is σ = 56091648. Its totient is φ = 9168000.

The previous prime is 23133199. The next prime is 23133263. The reversal of 23133200 is 233132.

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, 60209 + ... + 60591.

Almost surely, 2^23133200 is an apocalyptic number.

23133200 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 23133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28045824).

23133200 is an abundant number, since it is smaller than the sum of its proper divisors (32958448).

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

23133200 is a wasteful number, since it uses less digits than its factorization.

23133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

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

The square root of 23133200 is about 4809.6985352515. The cubic root of 23133200 is about 284.9346315660.

Adding to 23133200 its reverse (233132), we get a palindrome (23366332).

The spelling of 23133200 in words is "twenty-three million, one hundred thirty-three thousand, two hundred".