The number 22120
22120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 79. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 79, 140 … 22120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22120: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.
- 2
22120 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 22120 itself that is 35480, so 22120 is abundant (35480 is more than 22120). Euler's totient φ(22120) = 7488 numbers up to 22120 share no factor with it.
- 4
The digits of 22120 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22120 = 2^{3} \times 5 \times 7 \times 79 \]22120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 7488 |
| Square | 489294400 |
| Cube | 10823192128000 |
| Square root | 148.727940 (= 2√5530) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.212 × |
22120 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and twenty |
| Binary (base 2) | 101011001101000 |
| Octal (base 8) | 53150 |
| Hexadecimal (base 16) | 5668 |
| Base 3 | 1010100021 |
| As time | 22120 seconds = 6 h 8 min 40 s |
Is 22120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22120 ÷ 2 = 11060) | 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 | Yes (22120 ÷ 4 = 5530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22120 ÷ 5 = 4424) | 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 (22120 ÷ 7 = 3160) | 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 | Yes (22120 ÷ 8 = 2765) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (22120 ÷ 10 = 2212) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22120 a prime number?
No. 22120 = × 5 × 7 × 79, so it is divisible by 2.
What are the factors of 22120?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 79, 140, 158, 280, 316, 395, 553, 632, 790, 1106, 1580, 2212, 2765, 3160, 4424, 5530, 11060, 22120.
What is 22120 in binary?
101011001101000 (hexadecimal 5668, octal 53150).
What is the square root of 22120?
About 148.7279, exactly 2√5530.
Is 22120 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 22120?
22120 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.