23122400 has 72 divisors (see below), whose sum is σ = 64527120. Its totient is φ = 7925760.

The previous prime is 23122391. The next prime is 23122403. The reversal of 23122400 is 422132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122403) 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, 3536 + ... + 7664.

It is an arithmetic number, because the mean of its divisors is an integer number (896210).

Almost surely, 2^23122400 is an apocalyptic number.

23122400 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 23122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32263560).

23122400 is an abundant number, since it is smaller than the sum of its proper divisors (41404720).

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

23122400 is a wasteful number, since it uses less digits than its factorization.

23122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23122400 is about 4808.5756726914. The cubic root of 23122400 is about 284.8902829957.

Adding to 23122400 its reverse (422132), we get a palindrome (23544532).

The spelling of 23122400 in words is "twenty-three million, one hundred twenty-two thousand, four hundred".