23223200 has 288 divisors, whose sum is σ = 78744960. Its totient is φ = 6451200.

The previous prime is 23223181. The next prime is 23223203. The reversal of 23223200 is 232232.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (23223203) 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 47 ways as a sum of consecutive naturals, for example, 800786 + ... + 800814.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^23223200 is an apocalyptic number.

23223200 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 23223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

23223200 is an abundant number, since it is smaller than the sum of its proper divisors (55521760).

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

23223200 is a wasteful number, since it uses less digits than its factorization.

23223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23223200 is about 4819.0455486538. The cubic root of 23223200 is about 285.3036672994.

Adding to 23223200 its reverse (232232), we get a palindrome (23455432).

Multiplying 23223200 by its reverse (232232), we get a square (5393170182400 = 2322320²).

23223200 divided by its reverse (232232) gives a square (100 = 10²).

It can be divided in two parts, 232 and 23200, that multiplied together give a square (5382400 = 2320²).

The spelling of 23223200 in words is "twenty-three million, two hundred twenty-three thousand, two hundred".