Live analysis

2,200

2,200 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

2,200 (two thousand two hundred) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 11. Its proper divisors sum to 3,380, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCC and in binary, 100010011000.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Preferred Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,188 2,189 2,190 2,191 2,192 2,193 2,194 2,195 2,196 2,197 2,198 2,199 2,200 2,201 2,202 2,203 2,204 2,205 2,206 2,207 2,208 2,209 2,210 2,211 2,212

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 22
Recamán's sequence: a(3,351) = 2,200
Square (n²): 4,840,000
Cube (n³): 10,648,000,000
Divisor count: 24
σ(n) — sum of divisors: 5,580
φ(n) — Euler's totient: 800
Sum of prime factors: 27

Primality

Prime factorization: 2 ³ × 5 ² × 11

Nearest primes: 2,179 (−21) · 2,203 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 25 · 40 · 44 · 50 · 55 · 88 · 100 · 110 · 200 · 220 · 275 · 440 · 550 · 1100 (half) · 2200

Aliquot sum (sum of proper divisors): 3,380

Factor pairs (a × b = 2,200)

1 × 2200

2 × 1100

4 × 550

5 × 440

8 × 275

10 × 220

11 × 200

20 × 110

22 × 100

25 × 88

40 × 55

44 × 50

First multiples

2,200 · 4,400 (double) · 6,600 · 8,800 · 11,000 · 13,200 · 15,400 · 17,600 · 19,800 · 22,000

Sums & aliquot sequence

As consecutive integers: 438 + 439 + 440 + 441 + 442 195 + 196 + … + 205 130 + 131 + … + 145 76 + 77 + … + 100

Aliquot sequence: 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 → 2,512 → 2,386 → 1,196 — unresolved within range

Continued fraction of √n

√2,200 = [46; (1, 9, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 9, 1, 92)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred
Ordinal: 2200th
Roman numeral: MMCC
Binary: 100010011000
Octal: 4230
Hexadecimal: 0x898
Base64: CJg=
One's complement: 63,335 (16-bit)
Scientific notation: 2.2 × 10³
As a duration: 2,200 s = 36 minutes, 40 seconds

In other bases

ternary (3) 10000111

quaternary (4) 202120

quinary (5) 32300

senary (6) 14104

septenary (7) 6262

nonary (9) 3014

undecimal (11) 1720

duodecimal (12) 1334

tridecimal (13) 1003

tetradecimal (14) b32

pentadecimal (15) 9ba

Palindromic in base 16

As an angle

2,200° = 6 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢
Greek (Milesian): ͵βσʹ
Mayan (base 20): 𝋥·𝋪·𝋠
Chinese: 二千二百
Chinese (financial): 貳仟貳佰

In other modern scripts

Eastern Arabic ٢٢٠٠ Devanagari २२०० Bengali ২২০০ Tamil ௨௨௦௦ Thai ๒๒๐๐ Tibetan ༢༢༠༠ Khmer ២២០០ Lao ໒໒໐໐ Burmese ၂၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 2,200 = 8
e — Euler's number (e): Digit 2,200 = 6
φ — Golden ratio (φ): Digit 2,200 = 5
√2 — Pythagoras's (√2): Digit 2,200 = 2
ln 2 — Natural log of 2: Digit 2,200 = 9
γ — Euler-Mascheroni (γ): Digit 2,200 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2200, here are decompositions:

47 + 2153 = 2200
59 + 2141 = 2200
71 + 2129 = 2200
89 + 2111 = 2200
101 + 2099 = 2200
113 + 2087 = 2200
131 + 2069 = 2200
137 + 2063 = 2200

Showing the first eight; more decompositions exist.

Unicode codepoint

࢘

Arabic Small High Word Al-Juz

U+0898

Non-spacing mark (Mn)

UTF-8 encoding: E0 A2 98 (3 bytes).

Lookup U+0898 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000898

RGB(0, 8, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.152.

Address: 0.0.8.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.152

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 2,200 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, -12¢)

Position in π

The digit sequence 2200 first appears in π at position 36,498 of the decimal expansion (the 36,498ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 2200 on Pi Search ↗