23142000 has 320 divisors, whose sum is σ = 92851200. Its totient is φ = 4838400.

The previous prime is 23141959. The next prime is 23142011. The reversal of 23142000 is 24132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797986 + ... + 798014.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^23142000 is an apocalyptic number.

23142000 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 23142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

23142000 is an abundant number, since it is smaller than the sum of its proper divisors (69709200).

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

23142000 is a wasteful number, since it uses less digits than its factorization.

23142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

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

The square root of 23142000 is about 4810.6132665181. The cubic root of 23142000 is about 284.9707572335.

Adding to 23142000 its reverse (24132), we get a palindrome (23166132).

The spelling of 23142000 in words is "twenty-three million, one hundred forty-two thousand".