230192000 has 64 divisors (see below), whose sum is σ = 572354640. Its totient is φ = 92070400.

The previous prime is 230191993. The next prime is 230192009. The reversal of 230192000 is 291032.

230192000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 230192000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230192009) 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 7 ways as a sum of consecutive naturals, for example, 8807 + ... + 23193.

Almost surely, 2^230192000 is an apocalyptic number.

230192000 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 230192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286177320).

230192000 is an abundant number, since it is smaller than the sum of its proper divisors (342162640).

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

230192000 is an equidigital number, since it uses as much as digits as its factorization.

230192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 230192000 is about 15172.0796201444. The cubic root of 230192000 is about 612.8630084712.

The spelling of 230192000 in words is "two hundred thirty million, one hundred ninety-two thousand".