The number 67222
67222 is a composite number with 16 divisors. Its prime factorisation is 2 × 19 × 29 × 61. Divisors (16): 1, 2, 19, 29, 38, 58, 61, 122, 551, 1102, 1159, 1769, 2318, 3538, 33611, 67222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67222: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
67222 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 67222 itself that is 44378, so 67222 is deficient (44378 is less than 67222). Euler's totient φ(67222) = 30240 numbers up to 67222 share no factor with it.
- 4
The digits of 67222 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67222 = 2 \times 19 \times 29 \times 61 \]
67222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 30240 |
| Square | 4518797284 |
| Cube | 303762591025048 |
| Square root | 259.272058 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7222 × |
67222 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and twenty-two |
| Binary (base 2) | 10000011010010110 |
| Octal (base 8) | 203226 |
| Hexadecimal (base 16) | 10696 |
| Base 3 | 10102012201 |
| As time | 67222 seconds = 18 h 40 min 22 s |
Is 67222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67222 ÷ 2 = 33611) | 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 | 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 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 1) | 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 67222 a prime number?
No. 67222 = 2 × 19 × 29 × 61, so it is divisible by 2.
What are the factors of 67222?
1, 2, 19, 29, 38, 58, 61, 122, 551, 1102, 1159, 1769, 2318, 3538, 33611, 67222.
What is 67222 in binary?
10000011010010110 (hexadecimal 10696, octal 203226).
What is the square root of 67222?
About 259.2721.
Is 67222 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67222?
67222 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.