The number 2210
2210 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 17. Divisors (16): 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2210: a Harshad number: divisible by its digit sum 5.
- 2
2210 is composite. Its prime factorisation is
- 3
The divisors add up to 4536; without 2210 itself that is 2326, so 2210 is abundant (2326 is more than 2210). Euler's totient φ(2210) = 768 numbers up to 2210 share no factor with it.
- 4
The digits of 2210 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2210 = 2 \times 5 \times 13 \times 17 \]
2210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4536 |
| Euler totient φ(n) | 768 |
| Square | 4884100 |
| Cube | 10793861000 |
| Square root | 47.010637 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 2.21 × |
2210 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and ten |
| Roman numerals | MMCCX |
| Binary (base 2) | 100010100010 |
| Octal (base 8) | 4242 |
| Hexadecimal (base 16) | 8A2 |
| Base 3 | 10000212 |
| As time | 2210 seconds = 36 min 50 s |
Is 2210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2210 ÷ 2 = 1105) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2210 ÷ 5 = 442) | 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 | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2210 ÷ 10 = 221) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2210 a prime number?
No. 2210 = 2 × 5 × 13 × 17, so it is divisible by 2.
What are the factors of 2210?
1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210.
What is 2210 in binary?
100010100010 (hexadecimal 8A2, octal 4242).
What is the square root of 2210?
About 47.0106.
What is 2210 in Roman numerals?
MMCCX.
Is 2210 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 2210?
2210 is a Harshad number: divisible by its digit sum 5.