23123200 has 54 divisors (see below), whose sum is σ = 57249374. Its totient is φ = 9246720.

The previous prime is 23123189. The next prime is 23123231. The reversal of 23123200 is 232132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 22733824 = 624^2 + 4768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4594 + ... + 8206.

Almost surely, 2^23123200 is an apocalyptic number.

23123200 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 23123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624687).

23123200 is an abundant number, since it is smaller than the sum of its proper divisors (34126174).

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

23123200 is an equidigital number, since it uses as much as digits as its factorization.

23123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3620 counting only the distinct ones).

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

The square root of 23123200 is about 4808.6588566876. The cubic root of 23123200 is about 284.8935685485.

Adding to 23123200 its reverse (232132), we get a palindrome (23355332).

It can be divided in two parts, 2312 and 3200, that multiplied together give a square (7398400 = 2720²).

The spelling of 23123200 in words is "twenty-three million, one hundred twenty-three thousand, two hundred".