231006006 has 96 divisors (see below), whose sum is σ = 647232768. Its totient is φ = 59991840.

The previous prime is 231005993. The next prime is 231006011. The reversal of 231006006 is 600600132.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231006006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34336 + ... + 40508.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2^231006006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384).

231006006 is an abundant number, since it is smaller than the sum of its proper divisors (416226762).

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

231006006 is a wasteful number, since it uses less digits than its factorization.

231006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231006006 is about 15198.8817351804. The cubic root of 231006006 is about 613.5845616069.

Adding to 231006006 its reverse (600600132), we get a palindrome (831606138).

The spelling of 231006006 in words is "two hundred thirty-one million, six thousand, six".