23045200 has 60 divisors (see below), whose sum is σ = 58640220. Its totient is φ = 8673280.

The previous prime is 23045189. The next prime is 23045201. The reversal of 23045200 is 254032.

It can be written as a sum of positive squares in 6 ways, for example, as 2178576 + 20866624 = 1476^2 + 4568^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045201) 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, 5106 + ... + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (977337).

Almost surely, 2^23045200 is an apocalyptic number.

23045200 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 23045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29320110).

23045200 is an abundant number, since it is smaller than the sum of its proper divisors (35595020).

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

23045200 is a wasteful number, since it uses less digits than its factorization.

23045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23045200 is about 4800.5416361073. The cubic root of 23045200 is about 284.5728699771.

Adding to 23045200 its reverse (254032), we get a palindrome (23299232).

The spelling of 23045200 in words is "twenty-three million, forty-five thousand, two hundred".