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Number

231

231 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Gapful Number Hexagonal Recamán's Sequence Sphenic Number Squarefree Triangular Year

Historical context — 231 AD

Calendar year

Year 231 (CCXXXI) was a common year starting on Saturday of the Julian calendar.

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Historical context — 231 BC

Calendar year

Year 231 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 231
Ended on
Saturday
December 31, 231
Friday the 13ths
1
One Friday the 13th this year.
Decade
230s
230–239
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,795
1795 years before 2026.

In other calendars

Hebrew
3991 / 3992 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
774 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
223 / 224 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
153 / 152 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
6
Digit product
6
Digital root
6
Palindrome
No
Bit width
8 bits
Reversed
132
Recamán's sequence
a(281) = 231
Square (n²)
53,361
Cube (n³)
12,326,391
Divisor count
8
σ(n) — sum of divisors
384
φ(n) — Euler's totient
120
Sum of prime factors
21

Primality

Prime factorization: 3 × 7 × 11

Nearest primes: 229 (−2) · 233 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 11 · 21 · 33 · 77 · 231
Aliquot sum (sum of proper divisors): 153
Factor pairs (a × b = 231)
1 × 231
3 × 77
7 × 33
11 × 21
First multiples
231 · 462 (double) · 693 · 924 · 1,155 · 1,386 · 1,617 · 1,848 · 2,079 · 2,310

Sums & aliquot sequence

As consecutive integers: 115 + 116 76 + 77 + 78 36 + 37 + 38 + 39 + 40 + 41 30 + 31 + … + 36
Aliquot sequence: 231 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
two hundred thirty-one
Ordinal
231st
Roman numeral
CCXXXI
Binary
11100111
Octal
347
Hexadecimal
0xE7
Base64
5w==
One's complement
24 (8-bit)
In other bases
ternary (3) 22120
quaternary (4) 3213
quinary (5) 1411
senary (6) 1023
septenary (7) 450
nonary (9) 276
undecimal (11) 1a0
duodecimal (12) 173
tridecimal (13) 14a
tetradecimal (14) 127
pentadecimal (15) 106

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
σλαʹ
Mayan (base 20)
𝋫·𝋫
Chinese
二百三十一
Chinese (financial)
貳佰參拾壹
In other modern scripts
Eastern Arabic ٢٣١ Devanagari २३१ Bengali ২৩১ Tamil ௨௩௧ Thai ๒๓๑ Tibetan ༢༣༡ Khmer ២៣១ Lao ໒໓໑ Burmese ၂၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 231 = 3
e — Euler's number (e)
Digit 231 = 8
φ — Golden ratio (φ)
Digit 231 = 2
√2 — Pythagoras's (√2)
Digit 231 = 1
ln 2 — Natural log of 2
Digit 231 = 7
γ — Euler-Mascheroni (γ)
Digit 231 = 7

Also seen as

Unicode codepoint
ç
Latin Small Letter C With Cedilla
U+00E7
Lowercase letter (Ll)

UTF-8 encoding: C3 A7 (2 bytes).

Hex color
#0000E7
RGB(0, 0, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.231.

Address
0.0.0.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.231

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

NANP area code 231

The number 231 is an active NANP area code (North American Numbering Plan).

Primary area
Traverse City / Muskegon
Region
Michigan
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.