The number 22240
22240 is a composite number with 24 divisors. Its prime factorisation is × 5 × 139. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 139, 160, 278, 556, 695 … 22240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22240: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
22240 is composite. Its prime factorisation is
- 3
The divisors add up to 52920; without 22240 itself that is 30680, so 22240 is abundant (30680 is more than 22240). Euler's totient φ(22240) = 8832 numbers up to 22240 share no factor with it.
- 4
The digits of 22240 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22240 = 2^{5} \times 5 \times 139 \]22240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52920 |
| Euler totient φ(n) | 8832 |
| Square | 494617600 |
| Cube | 11000295424000 |
| Square root | 149.130815 (= 4√1390) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.224 × |
22240 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and forty |
| Binary (base 2) | 101011011100000 |
| Octal (base 8) | 53340 |
| Hexadecimal (base 16) | 56E0 |
| Base 3 | 1010111201 |
| As time | 22240 seconds = 6 h 10 min 40 s |
Is 22240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22240 ÷ 2 = 11120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22240 ÷ 4 = 5560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22240 ÷ 5 = 4448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (22240 ÷ 8 = 2780) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (22240 ÷ 10 = 2224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22240 a prime number?
No. 22240 = × 5 × 139, so it is divisible by 2.
What are the factors of 22240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 139, 160, 278, 556, 695, 1112, 1390, 2224, 2780, 4448, 5560, 11120, 22240.
What is 22240 in binary?
101011011100000 (hexadecimal 56E0, octal 53340).
What is the square root of 22240?
About 149.1308, exactly 4√1390.
Is 22240 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22240?
22240 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.