230234312212224 has 144 divisors (see below), whose sum is σ = 639455486632704. Its totient is φ = 73401754624000.

The previous prime is 230234312212199. The next prime is 230234312212237. The reversal of 230234312212224 is 422212213432032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207900619 + ... + 209005109.

It is an arithmetic number, because the mean of its divisors is an integer number (4440663101616).

Almost surely, 2^{230234312212224} is an apocalyptic number.

230234312212224 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 230234312212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319727743316352).

230234312212224 is an abundant number, since it is smaller than the sum of its proper divisors (409221174420480).

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

230234312212224 is a wasteful number, since it uses less digits than its factorization.

230234312212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116334 (or 1116320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 230234312212224 its reverse (422212213432032), we get a palindrome (652446525644256).

The spelling of 230234312212224 in words is "two hundred thirty trillion, two hundred thirty-four billion, three hundred twelve million, two hundred twelve thousand, two hundred twenty-four".