The number 22231
22231 is a composite number with 8 divisors. Its prime factorisation is 11 × 43 × 47. Divisors (8): 1, 11, 43, 47, 473, 517, 2021, 22231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22231 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22231 is composite. Its prime factorisation is
- 3
The divisors add up to 25344; without 22231 itself that is 3113, so 22231 is deficient (3113 is less than 22231). Euler's totient φ(22231) = 19320 numbers up to 22231 share no factor with it.
- 4
The digits of 22231 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22231 = 11 \times 43 \times 47 \]
22231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25344 |
| Euler totient φ(n) | 19320 |
| Square | 494217361 |
| Cube | 10986946152391 |
| Square root | 149.100637 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2231 × |
22231 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and thirty-one |
| Binary (base 2) | 101011011010111 |
| Octal (base 8) | 53327 |
| Hexadecimal (base 16) | 56D7 |
| Base 3 | 1010111101 |
| As time | 22231 seconds = 6 h 10 min 31 s |
Is 22231 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22231 ÷ 11 = 2021) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22231 a prime number?
No. 22231 = 11 × 43 × 47, so it is divisible by 11.
What are the factors of 22231?
1, 11, 43, 47, 473, 517, 2021, 22231.
What is 22231 in binary?
101011011010111 (hexadecimal 56D7, octal 53327).
What is the square root of 22231?
About 149.1006.
Is 22231 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22231?
It is a composite number with 8 divisors.