The number 22011
22011 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 23 × 29. Divisors (16): 1, 3, 11, 23, 29, 33, 69, 87, 253, 319, 667, 759, 957, 2001, 7337, 22011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22011: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22011 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 22011 itself that is 12549, so 22011 is deficient (12549 is less than 22011). Euler's totient φ(22011) = 12320 numbers up to 22011 share no factor with it.
- 4
The digits of 22011 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22011 = 3 \times 11 \times 23 \times 29 \]
22011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 12320 |
| Square | 484484121 |
| Cube | 10663979987331 |
| Square root | 148.361046 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.2011 × |
22011 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and eleven |
| Binary (base 2) | 101010111111011 |
| Octal (base 8) | 52773 |
| Hexadecimal (base 16) | 55FB |
| Base 3 | 1010012020 |
| As time | 22011 seconds = 6 h 6 min 51 s |
Is 22011 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 | Yes (22011 ÷ 3 = 7337) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (22011 ÷ 11 = 2001) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22011 a prime number?
No. 22011 = 3 × 11 × 23 × 29, so it is divisible by 3.
What are the factors of 22011?
1, 3, 11, 23, 29, 33, 69, 87, 253, 319, 667, 759, 957, 2001, 7337, 22011.
What is 22011 in binary?
101010111111011 (hexadecimal 55FB, octal 52773).
What is the square root of 22011?
About 148.3610.
Is 22011 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 22011?
22011 is a happy number: repeatedly adding the squares of its digits reaches 1.