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Number

2,239

2,239 is a prime, odd.

2,239 (two thousand two hundred thirty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMCCXXXIX and in binary, 100010111111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
9,322
Recamán's sequence
a(3,273) = 2,239
Square (n²)
5,013,121
Cube (n³)
11,224,377,919
Divisor count
2
σ(n) — sum of divisors
2,240
φ(n) — Euler's totient
2,238

Primality

2,239 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2239
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,239)
1 × 2239
First multiples
2,239 · 4,478 (double) · 6,717 · 8,956 · 11,195 · 13,434 · 15,673 · 17,912 · 20,151 · 22,390

Sums & aliquot sequence

As consecutive integers: 1,119 + 1,120

Continued fraction of √n

√2,239 = [47; (3, 6, 1, 18, 15, 1, 2, 1, 1, 3, 4, 1, 2, 2, 1, 9, 1, 4, 2, 1, 5, 1, 1, 1, …)]

Representations

In words
two thousand two hundred thirty-nine
Ordinal
2239th
Roman numeral
MMCCXXXIX
Binary
100010111111
Octal
4277
Hexadecimal
0x8BF
Base64
CL8=
One's complement
63,296 (16-bit)
Scientific notation
2.239 × 10³
As a duration
2,239 s = 37 minutes, 19 seconds
In other bases
ternary (3) 10001221
quaternary (4) 202333
quinary (5) 32424
senary (6) 14211
septenary (7) 6346
nonary (9) 3057
undecimal (11) 1756
duodecimal (12) 1367
tridecimal (13) 1033
tetradecimal (14) b5d
pentadecimal (15) 9e4

As an angle

2,239° = 6 × 360° + 79°
79° ≈ 1.379 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βσλθʹ
Mayan (base 20)
𝋥·𝋫·𝋳
Chinese
二千二百三十九
Chinese (financial)
貳仟貳佰參拾玖
In other modern scripts
Eastern Arabic ٢٢٣٩ Devanagari २२३९ Bengali ২২৩৯ Tamil ௨௨௩௯ Thai ๒๒๓๙ Tibetan ༢༢༣༩ Khmer ២២៣៩ Lao ໒໒໓໙ Burmese ၂၂၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,239 = 1
e — Euler's number (e)
Digit 2,239 = 5
φ — Golden ratio (φ)
Digit 2,239 = 8
√2 — Pythagoras's (√2)
Digit 2,239 = 4
ln 2 — Natural log of 2
Digit 2,239 = 0
γ — Euler-Mascheroni (γ)
Digit 2,239 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,237 (gap of 2)
  • Next prime: 2,243 (gap of 4)

Pair status: twin with 2237, cousin with 2243.

Unicode codepoint
Arabic Letter Teh With Small V
U+08BF
Other letter (Lo)

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

Hex color
#0008BF
RGB(0, 8, 191)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.191.

Address
0.0.8.191
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.191

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

Musical pitch

Heard as a frequency, 2,239 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +17¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -46¢ — about midway to C♯7)
  • Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +18¢)
Position in π

The digit sequence 2239 first appears in π at position 8,492 of the decimal expansion (the 8,492ordinal-suffix:nd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.