Base | Representation |
---|---|
bin | 11011011101111… |
… | …10100000000000 |
3 | 121001120110200000 |
4 | 31232332200000 |
5 | 432441342212 |
6 | 34510400000 |
7 | 5465344566 |
oct | 1556764000 |
9 | 531513600 |
10 | 230418432 |
11 | 109079862 |
12 | 65200000 |
13 | 3897788a |
14 | 2285da36 |
15 | 153671dc |
hex | dbbe800 |
230418432 has 144 divisors (see below), whose sum is σ = 691629120. Its totient is φ = 76640256.
The previous prime is 230418373. The next prime is 230418437. The reversal of 230418432 is 234814032.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 230418396 and 230418405.
It is not an unprimeable number, because it can be changed into a prime (230418437) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 497433 + ... + 497895.
It is an arithmetic number, because the mean of its divisors is an integer number (4802980).
Almost surely, 2230418432 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 230418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345814560).
230418432 is an abundant number, since it is smaller than the sum of its proper divisors (461210688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230418432 is an frugal number, since it uses more digits than its factorization.
230418432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 500 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 230418432 is about 15179.5399139763. The cubic root of 230418432 is about 613.0638934135.
It can be divided in two parts, 2304 and 18432, that added together give a 4-th power (20736 = 124).
The spelling of 230418432 in words is "two hundred thirty million, four hundred eighteen thousand, four hundred thirty-two".
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