The number 22165
22165 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 31. Divisors (16): 1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433, 22165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22165: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22165 is composite. Its prime factorisation is
- 3
The divisors add up to 32256; without 22165 itself that is 10091, so 22165 is deficient (10091 is less than 22165). Euler's totient φ(22165) = 14400 numbers up to 22165 share no factor with it.
- 4
The digits of 22165 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22165 = 5 \times 11 \times 13 \times 31 \]
22165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32256 |
| Euler totient φ(n) | 14400 |
| Square | 491287225 |
| Cube | 10889381342125 |
| Square root | 148.879146 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2165 × |
22165 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and sixty-five |
| Binary (base 2) | 101011010010101 |
| Octal (base 8) | 53225 |
| Hexadecimal (base 16) | 5695 |
| Base 3 | 1010101221 |
| As time | 22165 seconds = 6 h 9 min 25 s |
Is 22165 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 | Yes (22165 ÷ 5 = 4433) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22165 ÷ 11 = 2015) | 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 22165 a prime number?
No. 22165 = 5 × 11 × 13 × 31, so it is divisible by 5.
What are the factors of 22165?
1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433, 22165.
What is 22165 in binary?
101011010010101 (hexadecimal 5695, octal 53225).
What is the square root of 22165?
About 148.8791.
Is 22165 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 22165?
22165 is a happy number: repeatedly adding the squares of its digits reaches 1.