The number 232
232 is a palindrome: it reads 232 backwards too. Its prime factorisation is × 29. Divisors (8): 1, 2, 4, 8, 29, 58, 116, 232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 232: a palindrome: it reads 232 backwards too.
- 2
232 is composite. Its prime factorisation is
- 3
The divisors add up to 450; without 232 itself that is 218, so 232 is deficient (218 is less than 232). Euler's totient φ(232) = 112 numbers up to 232 share no factor with it.
- 4
The digits of 232 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 232 = 2^{3} \times 29 \]232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 450 |
| Euler totient φ(n) | 112 |
| Square | 53824 |
| Cube | 12487168 |
| Square root | 15.231546 (= 2√58) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 21 |
| Scientific notation | 2.32 × |
232 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-two |
| Roman numerals | CCXXXII |
| Binary (base 2) | 11101000 |
| Octal (base 8) | 350 |
| Hexadecimal (base 16) | E8 |
| Base 3 | 22121 |
| As time | 232 seconds = 3 min 52 s |
Is 232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (232 ÷ 2 = 116) | 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 | Yes (232 ÷ 4 = 58) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (232 ÷ 8 = 29) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 232 a prime number?
No. 232 = × 29, so it is divisible by 2.
What are the factors of 232?
1, 2, 4, 8, 29, 58, 116, 232.
What is 232 in binary?
11101000 (hexadecimal E8, octal 350).
What is the square root of 232?
About 15.2315, exactly 2√58.
What is 232 in Roman numerals?
CCXXXII.
Is 232 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 232?
232 is a palindrome: it reads 232 backwards too.