Base | Representation |
---|---|
bin | 11011011100011… |
… | …00011011000000 |
3 | 121001012001021222 |
4 | 31232030123000 |
5 | 432413311222 |
6 | 34502134212 |
7 | 5463531560 |
oct | 1556143300 |
9 | 531161258 |
10 | 230213312 |
11 | 108a4973a |
12 | 65121368 |
13 | 389053c4 |
14 | 22808da0 |
15 | 15326542 |
hex | db8c6c0 |
230213312 has 56 divisors (see below), whose sum is σ = 523829280. Its totient is φ = 98334720.
The previous prime is 230213309. The next prime is 230213327. The reversal of 230213312 is 213312032.
230213312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (56).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173612 + ... + 174932.
Almost surely, 2230213312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261914640).
230213312 is an abundant number, since it is smaller than the sum of its proper divisors (293615968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230213312 is a wasteful number, since it uses less digits than its factorization.
230213312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1729 (or 1719 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 230213312 is about 15172.7819466306. The cubic root of 230213312 is about 612.8819215718.
Adding to 230213312 its reverse (213312032), we get a palindrome (443525344).
The spelling of 230213312 in words is "two hundred thirty million, two hundred thirteen thousand, three hundred twelve".
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