The number 229
229 is a twin prime (227 and 229 are both prime) and the 50th prime number. Its only divisors are 1 and 229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 229: a twin prime (227 and 229 are both prime); the 50th prime number.
- 2
229 is prime, so its only factors are 1 and 229. It is the 50th prime; the next prime is 233 and the one before is 227.
- 3
The divisors add up to 230; without 229 itself that is 1, so 229 is deficient (1 is less than 229). Euler's totient φ(229) = 228 numbers up to 229 share no factor with it.
- 4
The digits of 229 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
229 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 230 |
| Euler totient φ(n) | 228 |
| Square | 52441 |
| Cube | 12008989 |
| Square root | 15.132746 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.29 × |
229 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twenty-nine |
| Roman numerals | CCXXIX |
| Binary (base 2) | 11100101 |
| Octal (base 8) | 345 |
| Hexadecimal (base 16) | E5 |
| Base 3 | 22111 |
| As time | 229 seconds = 3 min 49 s |
Is 229 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 229 a prime number?
Yes. 229 is divisible only by 1 and itself.
What are the factors of 229?
1, 229.
What is 229 in binary?
11100101 (hexadecimal E5, octal 345).
What is the square root of 229?
About 15.1327.
What is 229 in Roman numerals?
CCXXIX.
Is 229 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 229?
229 is a twin prime (227 and 229 are both prime); the 50th prime number.