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Number

198

198 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 198 AD

Calendar year

Year 198 (CXCVIII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 198 BC

Calendar year

Year 198 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
Monday
January 1, 198
Ended on
Monday
December 31, 198
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
190s
190–199
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,828
1828 years before 2026.

In other calendars

Hebrew
3958 / 3959 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
741 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
190 / 191 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
120 / 119 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
18
Digit product
72
Digital root
9
Palindrome
No
Bit width
8 bits
Reversed
891
Flips to (rotate 180°)
861
Recamán's sequence
a(1,375) = 198
Square (n²)
39,204
Cube (n³)
7,762,392
Divisor count
12
σ(n) — sum of divisors
468
φ(n) — Euler's totient
60
Sum of prime factors
19

Primality

Prime factorization: 2 × 3 2 × 11

Nearest primes: 197 (−1) · 199 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 33 · 66 · 99 (half) · 198
Aliquot sum (sum of proper divisors): 270
Factor pairs (a × b = 198)
1 × 198
2 × 99
3 × 66
6 × 33
9 × 22
11 × 18
First multiples
198 · 396 (double) · 594 · 792 · 990 · 1,188 · 1,386 · 1,584 · 1,782 · 1,980

Sums & aliquot sequence

As consecutive integers: 65 + 66 + 67 48 + 49 + 50 + 51 18 + 19 + … + 26 13 + 14 + … + 23
Aliquot sequence: 198 270 450 759 393 135 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one hundred ninety-eight
Ordinal
198th
Roman numeral
CXCVIII
Binary
11000110
Octal
306
Hexadecimal
0xC6
Base64
xg==
One's complement
57 (8-bit)
In other bases
ternary (3) 21100
quaternary (4) 3012
quinary (5) 1243
senary (6) 530
septenary (7) 402
nonary (9) 240
undecimal (11) 170
duodecimal (12) 146
tridecimal (13) 123
tetradecimal (14) 102
pentadecimal (15) d3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ρϟηʹ
Mayan (base 20)
𝋩·𝋲
Chinese
一百九十八
Chinese (financial)
壹佰玖拾捌
In other modern scripts
Eastern Arabic ١٩٨ Devanagari १९८ Bengali ১৯৮ Tamil ௧௯௮ Thai ๑๙๘ Tibetan ༡༩༨ Khmer ១៩៨ Lao ໑໙໘ Burmese ၁၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 198 = 8
e — Euler's number (e)
Digit 198 = 1
φ — Golden ratio (φ)
Digit 198 = 6
√2 — Pythagoras's (√2)
Digit 198 = 7
ln 2 — Natural log of 2
Digit 198 = 2
γ — Euler-Mascheroni (γ)
Digit 198 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 198, here are decompositions:

  • 5 + 193 = 198
  • 7 + 191 = 198
  • 17 + 181 = 198
  • 19 + 179 = 198
  • 31 + 167 = 198
  • 41 + 157 = 198
  • 47 + 151 = 198
  • 59 + 139 = 198

Showing the first eight; more decompositions exist.

Unicode codepoint
Æ
Latin Capital Letter Ae
U+00C6
Uppercase letter (Lu)

UTF-8 encoding: C3 86 (2 bytes).

Hex color
#0000C6
RGB(0, 0, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.198.

Address
0.0.0.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.198

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