The number 2200
2200 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100 … 2200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2200: a Harshad number: divisible by its digit sum 4.
- 2
2200 is composite. Its prime factorisation is
- 3
The divisors add up to 5580; without 2200 itself that is 3380, so 2200 is abundant (3380 is more than 2200). Euler's totient φ(2200) = 800 numbers up to 2200 share no factor with it.
- 4
The digits of 2200 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2200 = 2^{3} \times 5^{2} \times 11 \]2200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5580 |
| Euler totient φ(n) | 800 |
| Square | 4840000 |
| Cube | 10648000000 |
| Square root | 46.904158 (= 10√22) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 2.2 × |
2200 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred |
| Roman numerals | MMCC |
| Binary (base 2) | 100010011000 |
| Octal (base 8) | 4230 |
| Hexadecimal (base 16) | 898 |
| Base 3 | 10000111 |
| As time | 2200 seconds = 36 min 40 s |
Is 2200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2200 ÷ 2 = 1100) | 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 (2200 ÷ 4 = 550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2200 ÷ 5 = 440) | 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 2) | 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 (2200 ÷ 8 = 275) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2200 ÷ 10 = 220) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2200 ÷ 11 = 200) | 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 2200 a prime number?
No. 2200 = × × 11, so it is divisible by 2.
What are the factors of 2200?
1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200.
What is 2200 in binary?
100010011000 (hexadecimal 898, octal 4230).
What is the square root of 2200?
About 46.9042, exactly 10√22.
What is 2200 in Roman numerals?
MMCC.
Is 2200 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 2200?
2200 is a Harshad number: divisible by its digit sum 4.