230766500 has 72 divisors (see below), whose sum is σ = 535719912. Its totient is φ = 86822400.

The previous prime is 230766469. The next prime is 230766577. The reversal of 230766500 is 5667032.

230766500 is digitally balanced in base 2, 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 12 ways, for example, as 133310116 + 97456384 = 11546^2 + 9872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143702 + ... + 145298.

Almost surely, 2^230766500 is an apocalyptic number.

230766500 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 230766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267859956).

230766500 is an abundant number, since it is smaller than the sum of its proper divisors (304953412).

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

230766500 is a wasteful number, since it uses less digits than its factorization.

230766500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 230766500 is about 15191.0006253703. Note that the first 3 decimals coincide. The cubic root of 230766500 is about 613.3724343639.

The spelling of 230766500 in words is "two hundred thirty million, seven hundred sixty-six thousand, five hundred".