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2,189

2,189 is a composite number, odd.

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.).

2,189 (two thousand one hundred eighty-nine) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 199. Written other ways, in Roman numerals it is MMCLXXXIX and in binary, 100010001101.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
9,812
Recamán's sequence
a(3,373) = 2,189
Square (n²)
4,791,721
Cube (n³)
10,489,077,269
Divisor count
4
σ(n) — sum of divisors
2,400
φ(n) — Euler's totient
1,980
Sum of prime factors
210

Primality

Prime factorization: 11 × 199

Nearest primes: 2,179 (−10) · 2,203 (+14)

Divisors & multiples

All divisors (4)
1 · 11 · 199 · 2189
Aliquot sum (sum of proper divisors): 211
Factor pairs (a × b = 2,189)
1 × 2189
11 × 199
First multiples
2,189 · 4,378 (double) · 6,567 · 8,756 · 10,945 · 13,134 · 15,323 · 17,512 · 19,701 · 21,890

Sums & aliquot sequence

As consecutive integers: 1,094 + 1,095 194 + 195 + … + 204 89 + 90 + … + 110
Aliquot sequence: 2,189 211 1 0 — terminates at zero

Continued fraction of √n

√2,189 = [46; (1, 3, 1, 2, 4, 1, 1, 3, 5, 4, 2, 22, 1, 17, 1, 3, 8, 3, 1, 17, 1, 22, 2, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred eighty-nine
Ordinal
2189th
Roman numeral
MMCLXXXIX
Binary
100010001101
Octal
4215
Hexadecimal
0x88D
Base64
CI0=
One's complement
63,346 (16-bit)
Scientific notation
2.189 × 10³
As a duration
2,189 s = 36 minutes, 29 seconds
In other bases
ternary (3) 10000002
quaternary (4) 202031
quinary (5) 32224
senary (6) 14045
septenary (7) 6245
nonary (9) 3002
undecimal (11) 1710
duodecimal (12) 1325
tridecimal (13) cc5
tetradecimal (14) b25
pentadecimal (15) 9ae

As an angle

2,189° = 6 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρπθʹ
Mayan (base 20)
𝋥·𝋩·𝋩
Chinese
二千一百八十九
Chinese (financial)
貳仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ٢١٨٩ Devanagari २१८९ Bengali ২১৮৯ Tamil ௨௧௮௯ Thai ๒๑๘๙ Tibetan ༢༡༨༩ Khmer ២១៨៩ Lao ໒໑໘໙ Burmese ၂၁၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,189 = 7
e — Euler's number (e)
Digit 2,189 = 7
φ — Golden ratio (φ)
Digit 2,189 = 0
√2 — Pythagoras's (√2)
Digit 2,189 = 3
ln 2 — Natural log of 2
Digit 2,189 = 8
γ — Euler-Mascheroni (γ)
Digit 2,189 = 1

Also seen as

Unicode codepoint
Arabic Letter Keheh With Two Dots Vertically Below
U+088D
Other letter (Lo)

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

Hex color
#00088D
RGB(0, 8, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.141.

Address
0.0.8.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.141

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

Musical pitch

Heard as a frequency, 2,189 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, -21¢)
Position in π

The digit sequence 2189 first appears in π at position 28,876 of the decimal expansion (the 28,876ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.