The number 228
228 is a composite number with 12 divisors. Its prime factorisation is × 3 × 19. Divisors (12): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 228: a Harshad number: divisible by its digit sum 12.
- 2
228 is composite. Its prime factorisation is
- 3
The divisors add up to 560; without 228 itself that is 332, so 228 is abundant (332 is more than 228). Euler's totient φ(228) = 72 numbers up to 228 share no factor with it.
- 4
The digits of 228 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 228 = 2^{2} \times 3 \times 19 \]228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 560 |
| Euler totient φ(n) | 72 |
| Square | 51984 |
| Cube | 11852352 |
| Square root | 15.099669 (= 2√57) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.28 × |
228 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twenty-eight |
| Roman numerals | CCXXVIII |
| Binary (base 2) | 11100100 |
| Octal (base 8) | 344 |
| Hexadecimal (base 16) | E4 |
| Base 3 | 22110 |
| As time | 228 seconds = 3 min 48 s |
Is 228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (228 ÷ 2 = 114) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (228 ÷ 3 = 76) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (228 ÷ 4 = 57) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (228 ÷ 6 = 38) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (228 ÷ 12 = 19) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 228 a prime number?
No. 228 = × 3 × 19, so it is divisible by 2.
What are the factors of 228?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
What is 228 in binary?
11100100 (hexadecimal E4, octal 344).
What is the square root of 228?
About 15.0997, exactly 2√57.
What is 228 in Roman numerals?
CCXXVIII.
Is 228 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 228?
228 is a Harshad number: divisible by its digit sum 12.