230736100 has 135 divisors (see below), whose sum is σ = 603562281. Its totient is φ = 76557600.

The previous prime is 230736071. The next prime is 230736119. The reversal of 230736100 is 1637032.

The square root of 230736100 is 15190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 147671104 = 9114^2 + 12152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7443085 + ... + 7443115.

Almost surely, 2^230736100 is an apocalyptic number.

230736100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230736100 is the 15190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230736100

230736100 is an abundant number, since it is smaller than the sum of its proper divisors (372826181).

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

230736100 is an equidigital number, since it uses as much as digits as its factorization.

230736100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The cubic root of 230736100 is about 613.3454989973.

The spelling of 230736100 in words is "two hundred thirty million, seven hundred thirty-six thousand, one hundred".