The number 40222
40222 is a composite number with 24 divisors. Its prime factorisation is 2 × 7 × × 17. Divisors (24): 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 169, 182, 221, 238, 338, 442 … 40222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40222: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40222 is composite. Its prime factorisation is
- 3
The divisors add up to 79056; without 40222 itself that is 38834, so 40222 is deficient (38834 is less than 40222). Euler's totient φ(40222) = 14976 numbers up to 40222 share no factor with it.
- 4
The digits of 40222 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40222 = 2 \times 7 \times 13^{2} \times 17 \]40222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79056 |
| Euler totient φ(n) | 14976 |
| Square | 1617809284 |
| Cube | 65071525021048 |
| Square root | 200.554232 (= 13√238) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0222 × |
40222 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twenty-two |
| Binary (base 2) | 1001110100011110 |
| Octal (base 8) | 116436 |
| Hexadecimal (base 16) | 9D1E |
| Base 3 | 2001011201 |
| As time | 40222 seconds = 11 h 10 min 22 s |
Is 40222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40222 ÷ 2 = 20111) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40222 ÷ 7 = 5746) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40222 a prime number?
No. 40222 = 2 × 7 × × 17, so it is divisible by 2.
What are the factors of 40222?
1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 169, 182, 221, 238, 338, 442, 1183, 1547, 2366, 2873, 3094, 5746, 20111, 40222.
What is 40222 in binary?
1001110100011110 (hexadecimal 9D1E, octal 116436).
What is the square root of 40222?
About 200.5542, exactly 13√238.
Is 40222 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40222?
40222 is a happy number: repeatedly adding the squares of its digits reaches 1.