The number 22440
22440 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 11 × 17. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 17, 20, 22, 24, 30 … 22440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22440: a Harshad number: divisible by its digit sum 12.
- 2
22440 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 22440 itself that is 55320, so 22440 is abundant (55320 is more than 22440). Euler's totient φ(22440) = 5120 numbers up to 22440 share no factor with it.
- 4
The digits of 22440 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22440 = 2^{3} \times 3 \times 5 \times 11 \times 17 \]22440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 5120 |
| Square | 503553600 |
| Cube | 11299742784000 |
| Square root | 149.799866 (= 2√5610) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.244 × |
22440 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and forty |
| Binary (base 2) | 101011110101000 |
| Octal (base 8) | 53650 |
| Hexadecimal (base 16) | 57A8 |
| Base 3 | 1010210010 |
| As time | 22440 seconds = 6 h 14 min 0 s |
Is 22440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22440 ÷ 2 = 11220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22440 ÷ 3 = 7480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22440 ÷ 4 = 5610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22440 ÷ 5 = 4488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22440 ÷ 6 = 3740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (22440 ÷ 8 = 2805) | 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 | Yes (22440 ÷ 10 = 2244) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22440 ÷ 11 = 2040) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22440 ÷ 12 = 1870) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22440 a prime number?
No. 22440 = × 3 × 5 × 11 × 17, so it is divisible by 2.
What are the factors of 22440?
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 17, 20, 22, 24, 30, 33, 34, 40, 44, 51, 55, 60, 66, 68, 85, 88, 102, 110, 120, 132, 136, 165, 170, 187, 204, 220, 255, 264, 330, 340, 374, 408, 440, 510, 561, 660, 680, 748, 935, 1020, 1122, 1320, 1496, 1870, 2040, 2244, 2805, 3740, 4488, 5610, 7480, 11220, 22440.
What is 22440 in binary?
101011110101000 (hexadecimal 57A8, octal 53650).
What is the square root of 22440?
About 149.7999, exactly 2√5610.
Is 22440 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 22440?
22440 is a Harshad number: divisible by its digit sum 12.