232014000 has 80 divisors (see below), whose sum is σ = 748032480. Its totient is φ = 61868800.

The previous prime is 232013987. The next prime is 232014031. The reversal of 232014000 is 410232.

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

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

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 15 ways as a sum of consecutive naturals, for example, 13335 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (9350406).

Almost surely, 2^232014000 is an apocalyptic number.

232014000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232014000 is an abundant number, since it is smaller than the sum of its proper divisors (516018480).

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

232014000 is a wasteful number, since it uses less digits than its factorization.

232014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38695 (or 38679 counting only the distinct ones).

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

The square root of 232014000 is about 15232.0057773098. The cubic root of 232014000 is about 614.4757247838.

Adding to 232014000 its reverse (410232), we get a palindrome (232424232).

The spelling of 232014000 in words is "two hundred thirty-two million, fourteen thousand".