230100864 has 128 divisors (see below), whose sum is σ = 713184000. Its totient is φ = 65705472.

The previous prime is 230100863. The next prime is 230100881. The reversal of 230100864 is 468001032.

It is a happy number.

230100864 is digitally balanced in base 2, 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 (128).

It is a super-2 number, since 2×230100864² = 105892815227092992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230100863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130839 + ... + 132585.

It is an arithmetic number, because the mean of its divisors is an integer number (5571750).

Almost surely, 2^230100864 is an apocalyptic number.

230100864 is a gapful number since it is divisible by the number (24) 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 230100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356592000).

230100864 is an abundant number, since it is smaller than the sum of its proper divisors (483083136).

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

230100864 is an equidigital number, since it uses as much as digits as its factorization.

230100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 230100864 is about 15169.0759112083. The cubic root of 230100864 is about 612.7821176556.

Adding to 230100864 its reverse (468001032), we get a palindrome (698101896).

The spelling of 230100864 in words is "two hundred thirty million, one hundred thousand, eight hundred sixty-four".