Search a number
-
+
230443344032 = 25112967347971
BaseRepresentation
bin1101011010011101111…
…1100110000010100000
3211000210222210210112212
43112213133212002200
512233421444002112
6253510400341252
722435413051026
oct3264737460240
9730728723485
10230443344032
1189804295160
12387b3014828
13189664c0505
14b221374716
155edae74522
hex35a77e60a0

230443344032 has 192 divisors, whose sum is σ = 521671933440. Its totient is φ = 99236121600.

The previous prime is 230443344013. The next prime is 230443344101.

230443344032 is nontrivially palindromic in base 10.

230443344032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230443344032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237325307 + ... + 237326277.

It is an arithmetic number, because the mean of its divisors is an integer number (2717041320).

Almost surely, 2230443344032 is an apocalyptic number.

230443344032 is a gapful number since it is divisible by the number (22) 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 230443344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260835966720).

230443344032 is an abundant number, since it is smaller than the sum of its proper divisors (291228589408).

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

230443344032 is a wasteful number, since it uses less digits than its factorization.

230443344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 230443 and 344032, that added together give a palindrome (574475).

The spelling of 230443344032 in words is "two hundred thirty billion, four hundred forty-three million, three hundred forty-four thousand, thirty-two".