Base | Representation |
---|---|
bin | 11011011101100… |
… | …00011100000000 |
3 | 121001110112122200 |
4 | 31232300130000 |
5 | 432433021312 |
6 | 34505233200 |
7 | 5465014632 |
oct | 1556603400 |
9 | 531415580 |
10 | 230360832 |
11 | 10903a559 |
12 | 65192800 |
13 | 389575b0 |
14 | 22846a52 |
15 | 153550dc |
hex | dbb0700 |
230360832 has 108 divisors (see below), whose sum is σ = 715371384. Its totient is φ = 70871040.
The previous prime is 230360831. The next prime is 230360857. The reversal of 230360832 is 238063032.
230360832 is a `hidden beast` number, since 23 + 0 + 3 + 608 + 32 = 666.
It is a super-2 number, since 2×2303608322 = 106132225839464448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 230360796 and 230360805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230360831) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26107 + ... + 33797.
Almost surely, 2230360832 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 230360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357685692).
230360832 is an abundant number, since it is smaller than the sum of its proper divisors (485010552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230360832 is a wasteful number, since it uses less digits than its factorization.
230360832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7726 (or 7709 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The square root of 230360832 is about 15177.6425046843. The cubic root of 230360832 is about 613.0128045852.
The spelling of 230360832 in words is "two hundred thirty million, three hundred sixty thousand, eight hundred thirty-two".
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