Base | Representation |
---|---|
bin | 11011011110010… |
… | …10001100010000 |
3 | 121001122220100122 |
4 | 31233022030100 |
5 | 432444410240 |
6 | 34511405412 |
7 | 5465634320 |
oct | 1557121420 |
9 | 531586318 |
10 | 230466320 |
11 | 109101837 |
12 | 65223868 |
13 | 38993606 |
14 | 22873280 |
15 | 153764b5 |
hex | dbca310 |
230466320 has 80 divisors (see below), whose sum is σ = 614424960. Its totient is φ = 78753792.
The previous prime is 230466319. The next prime is 230466343. The reversal of 230466320 is 23664032.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×2304663202 = 106229449308684800, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 230466320.
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 15 ways as a sum of consecutive naturals, for example, 247616 + ... + 248544.
It is an arithmetic number, because the mean of its divisors is an integer number (7680312).
Almost surely, 2230466320 is an apocalyptic number.
230466320 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 230466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307212480).
230466320 is an abundant number, since it is smaller than the sum of its proper divisors (383958640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230466320 is a wasteful number, since it uses less digits than its factorization.
230466320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 26.
The square root of 230466320 is about 15181.1172184395. The cubic root of 230466320 is about 613.1063616163.
The spelling of 230466320 in words is "two hundred thirty million, four hundred sixty-six thousand, three hundred twenty".
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