The number 230
230 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 23. Divisors (8): 1, 2, 5, 10, 23, 46, 115, 230.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 230: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.
- 2
230 is composite. Its prime factorisation is
- 3
The divisors add up to 432; without 230 itself that is 202, so 230 is deficient (202 is less than 230). Euler's totient φ(230) = 88 numbers up to 230 share no factor with it.
- 4
The digits of 230 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 230 = 2 \times 5 \times 23 \]
230 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 432 |
| Euler totient φ(n) | 88 |
| Square | 52900 |
| Cube | 12167000 |
| Square root | 15.165751 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.3 × |
230 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty |
| Roman numerals | CCXXX |
| Binary (base 2) | 11100110 |
| Octal (base 8) | 346 |
| Hexadecimal (base 16) | E6 |
| Base 3 | 22112 |
| As time | 230 seconds = 3 min 50 s |
Is 230 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (230 ÷ 2 = 115) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (230 ÷ 5 = 46) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (230 ÷ 10 = 23) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 230 a prime number?
No. 230 = 2 × 5 × 23, so it is divisible by 2.
What are the factors of 230?
1, 2, 5, 10, 23, 46, 115, 230.
What is 230 in binary?
11100110 (hexadecimal E6, octal 346).
What is the square root of 230?
About 15.1658.
What is 230 in Roman numerals?
CCXXX.
Is 230 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 230?
230 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.