230128900 has 81 divisors (see below), whose sum is σ = 526064637. Its totient is φ = 87379200.

The previous prime is 230128897. The next prime is 230128909. The reversal of 230128900 is 9821032.

The square root of 230128900 is 15170.

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

It can be written as a sum of positive squares in 13 ways, for example, as 170406916 + 59721984 = 13054^2 + 7728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230128909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5612880 + ... + 5612920.

Almost surely, 2^230128900 is an apocalyptic number.

230128900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230128900 is the 15170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230128900

230128900 is an abundant number, since it is smaller than the sum of its proper divisors (295935737).

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

230128900 is a wasteful number, since it uses less digits than its factorization.

230128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 230128900 is about 612.8070042227.

Multiplying 230128900 by its sum of digits (25), we get a square (5753222500 = 75850²).

230128900 divided by its sum of digits (25) gives a square (9205156 = 3034²).

Adding to 230128900 its reverse (9821032), we get a palindrome (239949932).

The spelling of 230128900 in words is "two hundred thirty million, one hundred twenty-eight thousand, nine hundred".