23213200 has 60 divisors (see below), whose sum is σ = 56322288. Its totient is φ = 9193600.

The previous prime is 23213189. The next prime is 23213209. The reversal of 23213200 is 231232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23213209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52179 + ... + 52621.

Almost surely, 2^23213200 is an apocalyptic number.

23213200 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 23213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161144).

23213200 is an abundant number, since it is smaller than the sum of its proper divisors (33109088).

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

23213200 is a wasteful number, since it uses less digits than its factorization.

23213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23213200 is about 4818.0078870836. The cubic root of 23213200 is about 285.2627104648.

Adding to 23213200 its reverse (231232), we get a palindrome (23444432).

The spelling of 23213200 in words is "twenty-three million, two hundred thirteen thousand, two hundred".