23133300 has 72 divisors (see below), whose sum is σ = 69266400. Its totient is φ = 5953920.

The previous prime is 23133287. The next prime is 23133301. The reversal of 23133300 is 333132.

23133300 = 202² + 203² + ... + 426².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133301) 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 23 ways as a sum of consecutive naturals, for example, 7371 + ... + 10029.

Almost surely, 2^23133300 is an apocalyptic number.

23133300 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 23133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633200).

23133300 is an abundant number, since it is smaller than the sum of its proper divisors (46133100).

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

23133300 is a wasteful number, since it uses less digits than its factorization.

23133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 23133300 is about 4809.7089309022. The cubic root of 23133300 is about 284.9350421364.

Adding to 23133300 its reverse (333132), we get a palindrome (23466432).

The spelling of 23133300 in words is "twenty-three million, one hundred thirty-three thousand, three hundred".