231344100 has 225 divisors, whose sum is σ = 812417837. Its totient is φ = 56946240.

The previous prime is 231344093. The next prime is 231344101. The reversal of 231344100 is 1443132.

The square root of 231344100 is 15210.

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

231344100 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 7 ways, for example, as 226984356 + 4359744 = 15066^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231344101) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 17795694 + ... + 17795706.

Almost surely, 2^231344100 is an apocalyptic number.

231344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231344100 is the 15210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231344100

231344100 is an abundant number, since it is smaller than the sum of its proper divisors (581073737).

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

231344100 is an equidigital number, since it uses as much as digits as its factorization.

231344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 231344100 is about 613.8837574863.

Adding to 231344100 its reverse (1443132), we get a palindrome (232787232).

The spelling of 231344100 in words is "two hundred thirty-one million, three hundred forty-four thousand, one hundred".