The number 22002
22002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 193. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 193, 386, 579, 1158, 3667, 7334, 11001, 22002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22002: a Harshad number: divisible by its digit sum 6.
- 2
22002 is composite. Its prime factorisation is
- 3
The divisors add up to 46560; without 22002 itself that is 24558, so 22002 is abundant (24558 is more than 22002). Euler's totient φ(22002) = 6912 numbers up to 22002 share no factor with it.
- 4
The digits of 22002 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22002 = 2 \times 3 \times 19 \times 193 \]
22002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46560 |
| Euler totient φ(n) | 6912 |
| Square | 484088004 |
| Cube | 10650904264008 |
| Square root | 148.330712 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2002 × |
22002 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and two |
| Binary (base 2) | 101010111110010 |
| Octal (base 8) | 52762 |
| Hexadecimal (base 16) | 55F2 |
| Base 3 | 1010011220 |
| As time | 22002 seconds = 6 h 6 min 42 s |
Is 22002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22002 ÷ 2 = 11001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22002 ÷ 3 = 7334) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22002 ÷ 6 = 3667) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22002 a prime number?
No. 22002 = 2 × 3 × 19 × 193, so it is divisible by 2.
What are the factors of 22002?
1, 2, 3, 6, 19, 38, 57, 114, 193, 386, 579, 1158, 3667, 7334, 11001, 22002.
What is 22002 in binary?
101010111110010 (hexadecimal 55F2, octal 52762).
What is the square root of 22002?
About 148.3307.
Is 22002 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 22002?
22002 is a Harshad number: divisible by its digit sum 6.