220
220 is a even composite number that follows 219 and precedes 221. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. Its prime factorization can be written as 2^2 × 5 × 11. 220 is classified as a abundant number based on the sum of its proper divisors. In computer science, 220 is represented as 11011100 in binary and DC in hexadecimal. Historically, it is written as CCXX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 11) reveals 4 prime building blocks.
Divisible by 2
220 ends in 0, so it is even.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
220 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 4 is not a multiple of 9.
Divisible by 10
220 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 220 within several notable number theory sequences:
Timeline
Deep dive
How 220 breaks down
220 carries 12 distinct factors and a digit signature of 4 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 284, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11011100 supports bitwise reasoning, hexadecimal DC aligns with computing notation, and the Roman numeral CCXX keeps the encyclopedic tradition alive. These attributes make 220 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 220 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (215–225) to tune search ranges, and educators feature 220 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 220 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 220
Is 220 a prime number?
220 is composite with 12 total factors and the prime factorization 2^2 × 5 × 11.
What is the prime factorization of 220?
It breaks down as 2^2 × 5 × 11, multiplying the primes 2 × 2 × 5 × 11.
How is 220 represented in binary and hexadecimal?
220 converts to 11011100 in binary and DC in hexadecimal, which are helpful for computer science applications.
Is 220 a perfect square, cube, or triangular number?
220 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 220?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.