232114000 has 80 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 90652800.

The previous prime is 232113991. The next prime is 232114009. The reversal of 232114000 is 411232.

It is an interprime number because it is at equal distance from previous prime (232113991) and next prime (232114009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232114009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84651 + ... + 87349.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^232114000 is an apocalyptic number.

232114000 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 232114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

232114000 is an abundant number, since it is smaller than the sum of its proper divisors (342402800).

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

232114000 is a wasteful number, since it uses less digits than its factorization.

232114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 232114000 is about 15235.2879854632. The cubic root of 232114000 is about 614.5639935183.

Adding to 232114000 its reverse (411232), we get a palindrome (232525232).

The spelling of 232114000 in words is "two hundred thirty-two million, one hundred fourteen thousand".