23142400 has 84 divisors (see below), whose sum is σ = 57897522. Its totient is φ = 9175040.

The previous prime is 23142391. The next prime is 23142419. The reversal of 23142400 is 424132.

It can be written as a sum of positive squares in 3 ways, for example, as 9834496 + 13307904 = 3136^2 + 3648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204744 + ... + 204856.

Almost surely, 2^23142400 is an apocalyptic number.

23142400 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 23142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28948761).

23142400 is an abundant number, since it is smaller than the sum of its proper divisors (34755122).

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

23142400 is an equidigital number, since it uses as much as digits as its factorization.

23142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23142400 is about 4810.6548410793. The cubic root of 23142400 is about 284.9723990917.

Adding to 23142400 its reverse (424132), we get a palindrome (23566532).

The spelling of 23142400 in words is "twenty-three million, one hundred forty-two thousand, four hundred".