Base | Representation |
---|---|
bin | 11011100001001… |
… | …11000000100000 |
3 | 121002101012212020 |
4 | 31300213000200 |
5 | 433044041441 |
6 | 34523501440 |
7 | 5502106566 |
oct | 1560470040 |
9 | 532335766 |
10 | 230846496 |
11 | 109341431 |
12 | 65387880 |
13 | 38a9767a |
14 | 22931a36 |
15 | 153ede66 |
hex | dc27020 |
230846496 has 96 divisors (see below), whose sum is σ = 631229760. Its totient is φ = 73780224.
The previous prime is 230846471. The next prime is 230846521. The reversal of 230846496 is 694648032.
It is a happy number.
230846496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (230846471) and next prime (230846521).
It is a tau number, because it is divible by the number of its divisors (96).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787726 + ... + 788018.
It is an arithmetic number, because the mean of its divisors is an integer number (6575310).
Almost surely, 2230846496 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 230846496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315614880).
230846496 is an abundant number, since it is smaller than the sum of its proper divisors (400383264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230846496 is a wasteful number, since it uses less digits than its factorization.
230846496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 618 (or 610 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 42.
The square root of 230846496 is about 15193.6334035016. The cubic root of 230846496 is about 613.4433020629.
The spelling of 230846496 in words is "two hundred thirty million, eight hundred forty-six thousand, four hundred ninety-six".
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