23023200 has 144 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 5990400.

The previous prime is 23023183. The next prime is 23023223. The reversal of 23023200 is 232032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 127110 + ... + 127290.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^23023200 is an apocalyptic number.

23023200 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 23023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).

23023200 is an abundant number, since it is smaller than the sum of its proper divisors (53753136).

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

23023200 is a wasteful number, since it uses less digits than its factorization.

23023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23023200 is about 4798.2496808732. The cubic root of 23023200 is about 284.4822857280.

Adding to 23023200 its reverse (232032), we get a palindrome (23255232).

The spelling of 23023200 in words is "twenty-three million, twenty-three thousand, two hundred".