232144000 has 128 divisors (see below), whose sum is σ = 630115200. Its totient is φ = 84352000.

The previous prime is 232143931. The next prime is 232144001. The reversal of 232144000 is 441232.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (232144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175341 + ... + 176659.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^232144000 is an apocalyptic number.

232144000 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 232144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).

232144000 is an abundant number, since it is smaller than the sum of its proper divisors (397971200).

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

232144000 is a wasteful number, since it uses less digits than its factorization.

232144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1337 counting only the distinct ones).

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

The square root of 232144000 is about 15236.2725100334. The cubic root of 232144000 is about 614.5904691948.

Adding to 232144000 its reverse (441232), we get a palindrome (232585232).

The spelling of 232144000 in words is "two hundred thirty-two million, one hundred forty-four thousand".