Number

164

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

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 164 AD

Calendar year

Year 164 (CLXIV) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 164 BC

Calendar year

Year 164 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 164
Ended on: Monday
December 31, 164
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 160s
160–169
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,862
1862 years before 2026.

In other calendars

Hebrew: 3924 / 3925 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 707 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 156 / 157 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 86 / 85 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 11
Digit product: 24
Digital root: 2
Palindrome: No
Bit width: 8 bits
Reversed: 461
Recamán's sequence: a(100) = 164
Square (n²): 26,896
Cube (n³): 4,410,944
Divisor count: 6
σ(n) — sum of divisors: 294
φ(n) — Euler's totient: 80
Sum of prime factors: 45

Primality

Prime factorization: 2 ² × 41

Nearest primes: 163 (−1) · 167 (+3)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 41 · 82 (half) · 164

Aliquot sum (sum of proper divisors): 130

Factor pairs (a × b = 164)

1 × 164

2 × 82

4 × 41

First multiples

164 · 328 (double) · 492 · 656 · 820 · 984 · 1,148 · 1,312 · 1,476 · 1,640

Sums & aliquot sequence

As a sum of two squares: 8² + 10²

As consecutive integers: 17 + 18 + … + 24

Aliquot sequence: 164 → 130 → 122 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: one hundred sixty-four
Ordinal: 164th
Roman numeral: CLXIV
Binary: 10100100
Octal: 244
Hexadecimal: 0xA4
Base64: pA==
One's complement: 91 (8-bit)

In other bases

ternary (3) 20002

quaternary (4) 2210

quinary (5) 1124

senary (6) 432

septenary (7) 323

nonary (9) 202

undecimal (11) 13a

duodecimal (12) 118

tridecimal (13) c8

tetradecimal (14) ba

pentadecimal (15) ae

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ρξδʹ
Mayan (base 20): 𝋨·𝋤
Chinese: 一百六十四
Chinese (financial): 壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٦٤ Devanagari १६४ Bengali ১৬৪ Tamil ௧௬௪ Thai ๑๖๔ Tibetan ༡༦༤ Khmer ១៦៤ Lao ໑໖໔ Burmese ၁၆၄

Digit at this position in famous constants

π — Pi (π): Digit 164 = 1
e — Euler's number (e): Digit 164 = 3
φ — Golden ratio (φ): Digit 164 = 0
√2 — Pythagoras's (√2): Digit 164 = 6
ln 2 — Natural log of 2: Digit 164 = 5
γ — Euler-Mascheroni (γ): Digit 164 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164, here are decompositions:

7 + 157 = 164
13 + 151 = 164
37 + 127 = 164
61 + 103 = 164
67 + 97 = 164

Unicode codepoint

Currency Sign

U+00A4

Currency symbol (Sc)

UTF-8 encoding: C2 A4 (2 bytes).

Lookup U+00A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000A4

RGB(0, 0, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.164.

Address: 0.0.0.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.164

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