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Number

1,216

1,216 is a composite number, even, a calendar year.

Abundant Number Gapful Number Nonagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1216 AD

Calendar year

Year 1216 (MCCXVI) was a leap year starting on Friday of the Julian calendar.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Friday
January 1, 1216
Ended on
Saturday
December 31, 1216
Friday the 13ths
1
One Friday the 13th this year.
Decade
1210s
1210–1219
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
810
810 years before 2026.

In other calendars

Hebrew
4976 / 4977 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
612 / 613 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1759 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
594 / 595 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1208 / 1209 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1138 / 1137 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
6,121
Recamán's sequence
a(8,556) = 1,216
Square (n²)
1,478,656
Cube (n³)
1,798,045,696
Divisor count
14
σ(n) — sum of divisors
2,540
φ(n) — Euler's totient
576
Sum of prime factors
31

Primality

Prime factorization: 2 6 × 19

Nearest primes: 1,213 (−3) · 1,217 (+1)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 19 · 32 · 38 · 64 · 76 · 152 · 304 · 608 (half) · 1216
Aliquot sum (sum of proper divisors): 1,324
Factor pairs (a × b = 1,216)
1 × 1216
2 × 608
4 × 304
8 × 152
16 × 76
19 × 64
32 × 38
First multiples
1,216 · 2,432 (double) · 3,648 · 4,864 · 6,080 · 7,296 · 8,512 · 9,728 · 10,944 · 12,160

Sums & aliquot sequence

As consecutive integers: 55 + 56 + … + 73
Aliquot sequence: 1,216 1,324 1,000 1,340 1,516 1,144 1,376 1,396 1,054 674 340 416 466 236 184 176 196 — unresolved within range

Representations

In words
one thousand two hundred sixteen
Ordinal
1216th
Roman numeral
MCCXVI
Binary
10011000000
Octal
2300
Hexadecimal
0x4C0
Base64
BMA=
One's complement
64,319 (16-bit)
In other bases
ternary (3) 1200001
quaternary (4) 103000
quinary (5) 14331
senary (6) 5344
septenary (7) 3355
nonary (9) 1601
undecimal (11) a06
duodecimal (12) 854
tridecimal (13) 727
tetradecimal (14) 62c
pentadecimal (15) 561

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασιϛʹ
Mayan (base 20)
𝋣·𝋠·𝋰
Chinese
一千二百一十六
Chinese (financial)
壹仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٢١٦ Devanagari १२१६ Bengali ১২১৬ Tamil ௧௨௧௬ Thai ๑๒๑๖ Tibetan ༡༢༡༦ Khmer ១២១៦ Lao ໑໒໑໖ Burmese ၁၂၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,216 = 7
e — Euler's number (e)
Digit 1,216 = 0
φ — Golden ratio (φ)
Digit 1,216 = 0
√2 — Pythagoras's (√2)
Digit 1,216 = 5
ln 2 — Natural log of 2
Digit 1,216 = 4
γ — Euler-Mascheroni (γ)
Digit 1,216 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1216, here are decompositions:

  • 3 + 1213 = 1216
  • 23 + 1193 = 1216
  • 29 + 1187 = 1216
  • 53 + 1163 = 1216
  • 107 + 1109 = 1216
  • 113 + 1103 = 1216
  • 167 + 1049 = 1216
  • 197 + 1019 = 1216

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӏ
Cyrillic Letter Palochka
U+04C0
Uppercase letter (Lu)

UTF-8 encoding: D3 80 (2 bytes).

Hex color
#0004C0
RGB(0, 4, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.192.

Address
0.0.4.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.192

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001216
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1216 first appears in π at position 6,985 of the decimal expansion (the 6,985ordinal-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.