The number 2240
2240 is a composite number with 28 divisors. Its prime factorisation is × 5 × 7. Divisors (28): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64 … 2240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2240: a Harshad number: divisible by its digit sum 8.
- 2
2240 is composite. Its prime factorisation is
- 3
The divisors add up to 6096; without 2240 itself that is 3856, so 2240 is abundant (3856 is more than 2240). Euler's totient φ(2240) = 768 numbers up to 2240 share no factor with it.
- 4
The digits of 2240 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2240 = 2^{6} \times 5 \times 7 \]2240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 6096 |
| Euler totient φ(n) | 768 |
| Square | 5017600 |
| Cube | 11239424000 |
| Square root | 47.328638 (= 8√35) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 19 |
| Scientific notation | 2.24 × |
2240 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty |
| Roman numerals | MMCCXL |
| Binary (base 2) | 100011000000 |
| Octal (base 8) | 4300 |
| Hexadecimal (base 16) | 8C0 |
| Base 3 | 10001222 |
| As time | 2240 seconds = 37 min 20 s |
Is 2240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2240 ÷ 2 = 1120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2240 ÷ 4 = 560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2240 ÷ 5 = 448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2240 ÷ 7 = 320) | 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 (2240 ÷ 8 = 280) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2240 ÷ 10 = 224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2240 a prime number?
No. 2240 = × 5 × 7, so it is divisible by 2.
What are the factors of 2240?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240.
What is 2240 in binary?
100011000000 (hexadecimal 8C0, octal 4300).
What is the square root of 2240?
About 47.3286, exactly 8√35.
What is 2240 in Roman numerals?
MMCCXL.
Is 2240 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2240?
2240 is a Harshad number: divisible by its digit sum 8.