Base | Representation |
---|---|
bin | 11011011111011… |
… | …00111010000000 |
3 | 121001221010102000 |
4 | 31233230322000 |
5 | 433013433022 |
6 | 34514424000 |
7 | 5500066011 |
oct | 1557547200 |
9 | 531833360 |
10 | 230608512 |
11 | 109199652 |
12 | 65292000 |
13 | 38a13254 |
14 | 228ad008 |
15 | 153a36ac |
hex | dbece80 |
230608512 has 128 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 75359232.
The previous prime is 230608507. The next prime is 230608517. The reversal of 230608512 is 215806032.
230608512 is a `hidden beast` number, since 2 + 3 + 0 + 608 + 51 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (230608507) and next prime (230608517).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (230608517) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182539 + ... + 183797.
Almost surely, 2230608512 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 230608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).
230608512 is an abundant number, since it is smaller than the sum of its proper divisors (463399488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230608512 is a wasteful number, since it uses less digits than its factorization.
230608512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 230608512 is about 15185.7996825982. The cubic root of 230608512 is about 613.2324261635.
The spelling of 230608512 in words is "two hundred thirty million, six hundred eight thousand, five hundred twelve".
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