Live analysis

2,220

2,220 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.).

2,220 (two thousand two hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 37. Its proper divisors sum to 4,164, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCCXX and in binary, 100010101100.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,208 2,209 2,210 2,211 2,212 2,213 2,214 2,215 2,216 2,217 2,218 2,219 2,220 2,221 2,222 2,223 2,224 2,225 2,226 2,227 2,228 2,229 2,230 2,231 2,232

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 222
Recamán's sequence: a(3,311) = 2,220
Square (n²): 4,928,400
Cube (n³): 10,941,048,000
Divisor count: 24
σ(n) — sum of divisors: 6,384
φ(n) — Euler's totient: 576
Sum of prime factors: 49

Primality

Prime factorization: 2 ² × 3 × 5 × 37

Nearest primes: 2,213 (−7) · 2,221 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 37 · 60 · 74 · 111 · 148 · 185 · 222 · 370 · 444 · 555 · 740 · 1110 (half) · 2220

Aliquot sum (sum of proper divisors): 4,164

Factor pairs (a × b = 2,220)

1 × 2220

2 × 1110

3 × 740

4 × 555

5 × 444

6 × 370

10 × 222

12 × 185

15 × 148

20 × 111

30 × 74

37 × 60

First multiples

2,220 · 4,440 (double) · 6,660 · 8,880 · 11,100 · 13,320 · 15,540 · 17,760 · 19,980 · 22,200

Sums & aliquot sequence

As consecutive integers: 739 + 740 + 741 442 + 443 + 444 + 445 + 446 274 + 275 + … + 281 141 + 142 + … + 155

Aliquot sequence: 2,220 → 4,164 → 5,580 → 11,892 → 15,884 → 16,120 → 24,200 → 37,645 → 7,535 → 2,401 → 400 → 561 → 303 → 105 → 87 → 33 → 15 — unresolved within range

Continued fraction of √n

√2,220 = [47; (8, 1, 1, 3, 1, 22, 1, 3, 1, 1, 8, 94)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred twenty
Ordinal: 2220th
Roman numeral: MMCCXX
Binary: 100010101100
Octal: 4254
Hexadecimal: 0x8AC
Base64: CKw=
One's complement: 63,315 (16-bit)
Scientific notation: 2.22 × 10³
As a duration: 2,220 s = 37 minutes

In other bases

ternary (3) 10001020

quaternary (4) 202230

quinary (5) 32340

senary (6) 14140

septenary (7) 6321

nonary (9) 3036

undecimal (11) 1739

duodecimal (12) 1350

tridecimal (13) 101a

tetradecimal (14) b48

pentadecimal (15) 9d0

As an angle

2,220° = 6 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵βσκʹ
Mayan (base 20): 𝋥·𝋫·𝋠
Chinese: 二千二百二十
Chinese (financial): 貳仟貳佰貳拾

In other modern scripts

Eastern Arabic ٢٢٢٠ Devanagari २२२० Bengali ২২২০ Tamil ௨௨௨௦ Thai ๒๒๒๐ Tibetan ༢༢༢༠ Khmer ២២២០ Lao ໒໒໒໐ Burmese ၂၂၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,220 = 9
e — Euler's number (e): Digit 2,220 = 8
φ — Golden ratio (φ): Digit 2,220 = 4
√2 — Pythagoras's (√2): Digit 2,220 = 9
ln 2 — Natural log of 2: Digit 2,220 = 7
γ — Euler-Mascheroni (γ): Digit 2,220 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2220, here are decompositions:

7 + 2213 = 2220
13 + 2207 = 2220
17 + 2203 = 2220
41 + 2179 = 2220
59 + 2161 = 2220
67 + 2153 = 2220
79 + 2141 = 2220
83 + 2137 = 2220

Showing the first eight; more decompositions exist.

Unicode codepoint

ࢬ

Arabic Letter Rohingya Yeh

U+08AC

Other letter (Lo)

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

Lookup U+08AC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0008AC

RGB(0, 8, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.172.

Address: 0.0.8.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.172

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

Musical pitch

Heard as a frequency, 2,220 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +3¢)

Position in π

The digit sequence 2220 first appears in π at position 9,334 of the decimal expansion (the 9,334ordinal-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.

Look up 2220 on Pi Search ↗