The number 22122
22122 is a palindrome: it reads 22122 backwards too. Its prime factorisation is 2 × × 1229. Divisors (12): 1, 2, 3, 6, 9, 18, 1229, 2458, 3687, 7374, 11061, 22122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22122: a palindrome: it reads 22122 backwards too; a Harshad number: divisible by its digit sum 9.
- 2
22122 is composite. Its prime factorisation is
- 3
The divisors add up to 47970; without 22122 itself that is 25848, so 22122 is abundant (25848 is more than 22122). Euler's totient φ(22122) = 7368 numbers up to 22122 share no factor with it.
- 4
The digits of 22122 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22122 = 2 \times 3^{2} \times 1229 \]22122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47970 |
| Euler totient φ(n) | 7368 |
| Square | 489382884 |
| Cube | 10826128159848 |
| Square root | 148.734663 (= 3√2458) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2122 × |
22122 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and twenty-two |
| Binary (base 2) | 101011001101010 |
| Octal (base 8) | 53152 |
| Hexadecimal (base 16) | 566A |
| Base 3 | 1010100100 |
| As time | 22122 seconds = 6 h 8 min 42 s |
Is 22122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22122 ÷ 2 = 11061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22122 ÷ 3 = 7374) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (22122 ÷ 6 = 3687) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22122 ÷ 9 = 2458) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22122 a prime number?
No. 22122 = 2 × × 1229, so it is divisible by 2.
What are the factors of 22122?
1, 2, 3, 6, 9, 18, 1229, 2458, 3687, 7374, 11061, 22122.
What is 22122 in binary?
101011001101010 (hexadecimal 566A, octal 53152).
What is the square root of 22122?
About 148.7347, exactly 3√2458.
Is 22122 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22122?
22122 is a palindrome: it reads 22122 backwards too; a Harshad number: divisible by its digit sum 9.