23102400 has 84 divisors (see below), whose sum is σ = 75810872. Its totient is φ = 6159360.

The previous prime is 23102399. The next prime is 23102407. The reversal of 23102400 is 420132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23102407) 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, 2394 + ... + 7206.

Almost surely, 2^23102400 is an apocalyptic number.

23102400 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 23102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37905436).

23102400 is an abundant number, since it is smaller than the sum of its proper divisors (52708472).

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

23102400 is a wasteful number, since it uses less digits than its factorization.

23102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23102400 is about 4806.4956049080. The cubic root of 23102400 is about 284.8081195345.

Adding to 23102400 its reverse (420132), we get a palindrome (23522532).

The spelling of 23102400 in words is "twenty-three million, one hundred two thousand, four hundred".