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2,238

2,238 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
8,322
Recamán's sequence
a(3,275) = 2,238
Square (n²)
5,008,644
Cube (n³)
11,209,345,272
Divisor count
8
σ(n) — sum of divisors
4,488
φ(n) — Euler's totient
744
Sum of prime factors
378

Primality

Prime factorization: 2 × 3 × 373

Nearest primes: 2,237 (−1) · 2,239 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 373 · 746 · 1119 (half) · 2238
Aliquot sum (sum of proper divisors): 2,250
Factor pairs (a × b = 2,238)
1 × 2238
2 × 1119
3 × 746
6 × 373
First multiples
2,238 · 4,476 (double) · 6,714 · 8,952 · 11,190 · 13,428 · 15,666 · 17,904 · 20,142 · 22,380

Sums & aliquot sequence

As consecutive integers: 745 + 746 + 747 558 + 559 + 560 + 561 181 + 182 + … + 192
Aliquot sequence: 2,238 2,250 3,834 4,806 5,994 7,800 18,240 42,720 93,360 196,800 464,616 845,784 1,583,136 3,134,304 5,779,692 8,927,364 11,903,180 — unresolved within range

Representations

In words
two thousand two hundred thirty-eight
Ordinal
2238th
Roman numeral
MMCCXXXVIII
Binary
100010111110
Octal
4276
Hexadecimal
0x8BE
Base64
CL4=
One's complement
63,297 (16-bit)
In other bases
ternary (3) 10001220
quaternary (4) 202332
quinary (5) 32423
senary (6) 14210
septenary (7) 6345
nonary (9) 3056
undecimal (11) 1755
duodecimal (12) 1366
tridecimal (13) 1032
tetradecimal (14) b5c
pentadecimal (15) 9e3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βσληʹ
Mayan (base 20)
𝋥·𝋫·𝋲
Chinese
二千二百三十八
Chinese (financial)
貳仟貳佰參拾捌
In other modern scripts
Eastern Arabic ٢٢٣٨ Devanagari २२३८ Bengali ২২৩৮ Tamil ௨௨௩௮ Thai ๒๒๓๘ Tibetan ༢༢༣༨ Khmer ២២៣៨ Lao ໒໒໓໘ Burmese ၂၂၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,238 = 3
e — Euler's number (e)
Digit 2,238 = 5
φ — Golden ratio (φ)
Digit 2,238 = 6
√2 — Pythagoras's (√2)
Digit 2,238 = 3
ln 2 — Natural log of 2
Digit 2,238 = 1
γ — Euler-Mascheroni (γ)
Digit 2,238 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2238, here are decompositions:

  • 17 + 2221 = 2238
  • 31 + 2207 = 2238
  • 59 + 2179 = 2238
  • 97 + 2141 = 2238
  • 101 + 2137 = 2238
  • 107 + 2131 = 2238
  • 109 + 2129 = 2238
  • 127 + 2111 = 2238

Showing the first eight; more decompositions exist.

Unicode codepoint
Arabic Letter Peh With Small V
U+08BE
Other letter (Lo)

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

Hex color
#0008BE
RGB(0, 8, 190)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.190.

Address
0.0.8.190
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.190

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

Position in π

The digit sequence 2238 first appears in π at position 18,902 of the decimal expansion (the 18,902ordinal-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.