The number 22140
22140 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41 … 22140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22140: a Harshad number: divisible by its digit sum 9.
- 2
22140 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 22140 itself that is 48420, so 22140 is abundant (48420 is more than 22140). Euler's totient φ(22140) = 5760 numbers up to 22140 share no factor with it.
- 4
The digits of 22140 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
\[ 22140 = 2^{2} \times 3^{3} \times 5 \times 41 \]22140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 5760 |
| Square | 490179600 |
| Cube | 10852576344000 |
| Square root | 148.795161 (= 6√615) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.214 × |
22140 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and forty |
| Binary (base 2) | 101011001111100 |
| Octal (base 8) | 53174 |
| Hexadecimal (base 16) | 567C |
| Base 3 | 1010101000 |
| As time | 22140 seconds = 6 h 9 min 0 s |
Is 22140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22140 ÷ 2 = 11070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22140 ÷ 3 = 7380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22140 ÷ 4 = 5535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22140 ÷ 5 = 4428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22140 ÷ 6 = 3690) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22140 ÷ 9 = 2460) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (22140 ÷ 10 = 2214) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22140 ÷ 12 = 1845) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22140 a prime number?
No. 22140 = × × 5 × 41, so it is divisible by 2.
What are the factors of 22140?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 82, 90, 108, 123, 135, 164, 180, 205, 246, 270, 369, 410, 492, 540, 615, 738, 820, 1107, 1230, 1476, 1845, 2214, 2460, 3690, 4428, 5535, 7380, 11070, 22140.
What is 22140 in binary?
101011001111100 (hexadecimal 567C, octal 53174).
What is the square root of 22140?
About 148.7952, exactly 6√615.
Is 22140 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22140?
22140 is a Harshad number: divisible by its digit sum 9.