The number 22010
22010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 71. Divisors (16): 1, 2, 5, 10, 31, 62, 71, 142, 155, 310, 355, 710, 2201, 4402, 11005, 22010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22010: a Harshad number: divisible by its digit sum 5.
- 2
22010 is composite. Its prime factorisation is
- 3
The divisors add up to 41472; without 22010 itself that is 19462, so 22010 is deficient (19462 is less than 22010). Euler's totient φ(22010) = 8400 numbers up to 22010 share no factor with it.
- 4
The digits of 22010 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 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22010 = 2 \times 5 \times 31 \times 71 \]
22010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41472 |
| Euler totient φ(n) | 8400 |
| Square | 484440100 |
| Cube | 10662526601000 |
| Square root | 148.357676 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.201 × |
22010 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and ten |
| Binary (base 2) | 101010111111010 |
| Octal (base 8) | 52772 |
| Hexadecimal (base 16) | 55FA |
| Base 3 | 1010012012 |
| As time | 22010 seconds = 6 h 6 min 50 s |
Is 22010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22010 ÷ 2 = 11005) | 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 (22010 ÷ 5 = 4402) | 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 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 | 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 (22010 ÷ 10 = 2201) | 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 22010 a prime number?
No. 22010 = 2 × 5 × 31 × 71, so it is divisible by 2.
What are the factors of 22010?
1, 2, 5, 10, 31, 62, 71, 142, 155, 310, 355, 710, 2201, 4402, 11005, 22010.
What is 22010 in binary?
101010111111010 (hexadecimal 55FA, octal 52772).
What is the square root of 22010?
About 148.3577.
Is 22010 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 22010?
22010 is a Harshad number: divisible by its digit sum 5.