The number 72220
72220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 157. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 157, 230, 314, 460, 628, 785 … 72220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72220 is composite. Its prime factorisation is
- 3
The divisors add up to 159264; without 72220 itself that is 87044, so 72220 is abundant (87044 is more than 72220). Euler's totient φ(72220) = 27456 numbers up to 72220 share no factor with it.
- 4
The digits of 72220 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72220 = 2^{2} \times 5 \times 23 \times 157 \]72220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159264 |
| Euler totient φ(n) | 27456 |
| Square | 5215728400 |
| Cube | 376679905048000 |
| Square root | 268.737790 (= 2√18055) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.222 × |
72220 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and twenty |
| Binary (base 2) | 10001101000011100 |
| Octal (base 8) | 215034 |
| Hexadecimal (base 16) | 11A1C |
| Base 3 | 10200001211 |
| As time | 72220 seconds = 20 h 3 min 40 s |
Is 72220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72220 ÷ 2 = 36110) | 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 (72220 ÷ 4 = 18055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72220 ÷ 5 = 14444) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72220 ÷ 10 = 7222) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 72220 a prime number?
No. 72220 = × 5 × 23 × 157, so it is divisible by 2.
What are the factors of 72220?
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 157, 230, 314, 460, 628, 785, 1570, 3140, 3611, 7222, 14444, 18055, 36110, 72220.
What is 72220 in binary?
10001101000011100 (hexadecimal 11A1C, octal 215034).
What is the square root of 72220?
About 268.7378, exactly 2√18055.
Is 72220 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72220?
It is a composite number with 24 divisors.