Base | Representation |
---|---|
bin | 11011011100011… |
… | …00011000000000 |
3 | 121001012001000212 |
4 | 31232030120000 |
5 | 432413304440 |
6 | 34502133252 |
7 | 5463531164 |
oct | 1556143000 |
9 | 531161025 |
10 | 230213120 |
11 | 108a49585 |
12 | 65121228 |
13 | 389052a7 |
14 | 22808ca4 |
15 | 15326465 |
hex | db8c600 |
230213120 has 80 divisors (see below), whose sum is σ = 581145840. Its totient is φ = 87220224.
The previous prime is 230213119. The next prime is 230213131. The reversal of 230213120 is 21312032.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 230213095 and 230213104.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46274 + ... + 51006.
It is an arithmetic number, because the mean of its divisors is an integer number (7264323).
Almost surely, 2230213120 is an apocalyptic number.
230213120 is a gapful number since it is divisible by the number (20) 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 230213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290572920).
230213120 is an abundant number, since it is smaller than the sum of its proper divisors (350932720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230213120 is an equidigital number, since it uses as much as digits as its factorization.
230213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4775 (or 4759 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 230213120 is about 15172.7756195101. The cubic root of 230213120 is about 612.8817511887.
Adding to 230213120 its reverse (21312032), we get a palindrome (251525152).
The spelling of 230213120 in words is "two hundred thirty million, two hundred thirteen thousand, one hundred twenty".
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