Base | Representation |
---|---|
bin | 11011100001011… |
… | …11101100000000 |
3 | 121002110000121222 |
4 | 31300233230000 |
5 | 433101211143 |
6 | 34524334212 |
7 | 5502315335 |
oct | 1560575400 |
9 | 532400558 |
10 | 230882048 |
11 | 109366111 |
12 | 653a4368 |
13 | 38aaa8c7 |
14 | 2294098c |
15 | 15409768 |
hex | dc2fb00 |
230882048 has 72 divisors (see below), whose sum is σ = 486635520. Its totient is φ = 109163520.
The previous prime is 230882039. The next prime is 230882059. The reversal of 230882048 is 840288032.
230882048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 230881999 and 230882017.
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, 372683 + ... + 373301.
Almost surely, 2230882048 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 230882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).
230882048 is an abundant number, since it is smaller than the sum of its proper divisors (255753472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230882048 is an equidigital number, since it uses as much as digits as its factorization.
230882048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 713 (or 699 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 35.
The square root of 230882048 is about 15194.8033221888. The cubic root of 230882048 is about 613.4747919883.
The spelling of 230882048 in words is "two hundred thirty million, eight hundred eighty-two thousand, forty-eight".
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