230014000 has 80 divisors (see below), whose sum is σ = 585542880. Its totient is φ = 87148800.

The previous prime is 230013991. The next prime is 230014033. The reversal of 230014000 is 410032.

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34974 + ... + 41026.

It is an arithmetic number, because the mean of its divisors is an integer number (7319286).

Almost surely, 2^230014000 is an apocalyptic number.

230014000 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 230014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292771440).

230014000 is an abundant number, since it is smaller than the sum of its proper divisors (355528880).

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

230014000 is a wasteful number, since it uses less digits than its factorization.

230014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 230014000 is about 15166.2124474109. The cubic root of 230014000 is about 612.7049987140.

Adding to 230014000 its reverse (410032), we get a palindrome (230424032).

The spelling of 230014000 in words is "two hundred thirty million, fourteen thousand".