The number 22422
22422 is a palindrome: it reads 22422 backwards too. Its prime factorisation is 2 × 3 × 37 × 101. Divisors (16): 1, 2, 3, 6, 37, 74, 101, 111, 202, 222, 303, 606, 3737, 7474, 11211, 22422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22422: a palindrome: it reads 22422 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22422 is composite. Its prime factorisation is
- 3
The divisors add up to 46512; without 22422 itself that is 24090, so 22422 is abundant (24090 is more than 22422). Euler's totient φ(22422) = 7200 numbers up to 22422 share no factor with it.
- 4
The digits of 22422 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22422 = 2 \times 3 \times 37 \times 101 \]
22422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46512 |
| Euler totient φ(n) | 7200 |
| Square | 502746084 |
| Cube | 11272572695448 |
| Square root | 149.739774 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2422 × |
22422 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and twenty-two |
| Binary (base 2) | 101011110010110 |
| Octal (base 8) | 53626 |
| Hexadecimal (base 16) | 5796 |
| Base 3 | 1010202110 |
| As time | 22422 seconds = 6 h 13 min 42 s |
Is 22422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22422 ÷ 2 = 11211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22422 ÷ 3 = 7474) | 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 (22422 ÷ 6 = 3737) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 22422 a prime number?
No. 22422 = 2 × 3 × 37 × 101, so it is divisible by 2.
What are the factors of 22422?
1, 2, 3, 6, 37, 74, 101, 111, 202, 222, 303, 606, 3737, 7474, 11211, 22422.
What is 22422 in binary?
101011110010110 (hexadecimal 5796, octal 53626).
What is the square root of 22422?
About 149.7398.
Is 22422 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 22422?
22422 is a palindrome: it reads 22422 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.