2200
2200 is a even composite number that follows 2199 and precedes 2201. It is composed of 24 distinct factors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200. Its prime factorization can be written as 2^3 × 5^2 × 11. 2200 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2200 is represented as 100010011000 in binary and 898 in hexadecimal. Historically, it is written as MMCC in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 5^2 × 11) reveals 6 prime building blocks.
Divisible by 2
2200 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 00 form a multiple of 4.
Divisible by 5
2200 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
2200 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2200 within several notable number theory sequences:
Timeline
Deep dive
How 2200 breaks down
2200 carries 24 distinct factors and a digit signature of 4 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 3380, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010011000 supports bitwise reasoning, hexadecimal 898 aligns with computing notation, and the Roman numeral MMCC keeps the encyclopedic tradition alive. These attributes make 2200 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2200 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2195–2205) to tune search ranges, and educators feature 2200 in worksheets about factor trees. Its binary footprint of length 12 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 2200 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 2200
Is 2200 a prime number?
2200 is composite with 24 total factors and the prime factorization 2^3 × 5^2 × 11.
What is the prime factorization of 2200?
It breaks down as 2^3 × 5^2 × 11, multiplying the primes 2 × 2 × 2 × 5 × 5 × 11.
How is 2200 represented in binary and hexadecimal?
2200 converts to 100010011000 in binary and 898 in hexadecimal, which are helpful for computer science applications.
Is 2200 a perfect square, cube, or triangular number?
2200 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2200?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.