Base | Representation |
---|---|
bin | 11011011110010… |
… | …00010000000000 |
3 | 121001122111110010 |
4 | 31233020100000 |
5 | 432444131433 |
6 | 34511304520 |
7 | 5465602200 |
oct | 1557102000 |
9 | 531574403 |
10 | 230458368 |
11 | 1090a6868 |
12 | 6521b140 |
13 | 3898caca |
14 | 22870400 |
15 | 15373e63 |
hex | dbc8400 |
230458368 has 132 divisors (see below), whose sum is σ = 715008912. Its totient is φ = 65802240.
The previous prime is 230458351. The next prime is 230458369. The reversal of 230458368 is 863854032.
It is a super-2 number, since 2×2304583682 = 106222118762446848, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (230458369) 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, 149763 + ... + 151293.
Almost surely, 2230458368 is an apocalyptic number.
230458368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504456).
230458368 is an abundant number, since it is smaller than the sum of its proper divisors (484550544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230458368 is a wasteful number, since it uses less digits than its factorization.
230458368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1568 (or 1543 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 39.
The square root of 230458368 is about 15180.8553118723. The cubic root of 230458368 is about 613.0993100033.
It can be divided in two parts, 23045 and 8368, that added together give a palindrome (31413).
The spelling of 230458368 in words is "two hundred thirty million, four hundred fifty-eight thousand, three hundred sixty-eight".
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