230889600 has 144 divisors (see below), whose sum is σ = 823969770. Its totient is φ = 61562880.

The previous prime is 230889559. The next prime is 230889601. The reversal of 230889600 is 6988032.

230889600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 178703424 + 52186176 = 13368^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230889601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24792 + ... + 32808.

Almost surely, 2^230889600 is an apocalyptic number.

230889600 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 230889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411984885).

230889600 is an abundant number, since it is smaller than the sum of its proper divisors (593080170).

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

230889600 is a wasteful number, since it uses less digits than its factorization.

230889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 230889600 is about 15195.0518261703. The cubic root of 230889600 is about 613.4814807011.

The spelling of 230889600 in words is "two hundred thirty million, eight hundred eighty-nine thousand, six hundred".