Live analysis

20,200

20,200 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.).

20,200 (twenty thousand two hundred) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 101. Its proper divisors sum to 27,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4EE8.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

20,188 20,189 20,190 20,191 20,192 20,193 20,194 20,195 20,196 20,197 20,198 20,199 20,200 20,201 20,202 20,203 20,204 20,205 20,206 20,207 20,208 20,209 20,210 20,211 20,212

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 15 bits
Reversed: 202
Recamán's sequence: a(5,083) = 20,200
Square (n²): 408,040,000
Cube (n³): 8,242,408,000,000
Divisor count: 24
σ(n) — sum of divisors: 47,430
φ(n) — Euler's totient: 8,000
Sum of prime factors: 117

Primality

Prime factorization: 2 ³ × 5 ² × 101

Nearest primes: 20,183 (−17) · 20,201 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 101 · 200 · 202 · 404 · 505 · 808 · 1010 · 2020 · 2525 · 4040 · 5050 · 10100 (half) · 20200

Aliquot sum (sum of proper divisors): 27,230

Factor pairs (a × b = 20,200)

1 × 20200

2 × 10100

4 × 5050

5 × 4040

8 × 2525

10 × 2020

20 × 1010

25 × 808

40 × 505

50 × 404

100 × 202

101 × 200

First multiples

20,200 · 40,400 (double) · 60,600 · 80,800 · 101,000 · 121,200 · 141,400 · 161,600 · 181,800 · 202,000

Sums & aliquot sequence

As a sum of two squares: 6² + 142² = 34² + 138² = 90² + 110²

As consecutive integers: 4,038 + 4,039 + 4,040 + 4,041 + 4,042 1,255 + 1,256 + … + 1,270 796 + 797 + … + 820 213 + 214 + … + 292

Aliquot sequence: 20,200 → 27,230 → 28,930 → 28,094 → 17,914 → 11,732 → 11,788 → 11,844 → 23,100 → 60,228 → 114,492 → 208,068 → 347,004 → 754,740 → 1,866,060 → 4,607,316 → 9,020,844 — unresolved within range

Continued fraction of √n

√20,200 = [142; (7, 1, 8, 3, 2, 1, 1, 11, 3, 1, 11, 11, 3, 1, 1, 31, 71, 31, 1, 1, 3, 11, 11, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: twenty thousand two hundred
Ordinal: 20200th
Binary: 100111011101000
Octal: 47350
Hexadecimal: 0x4EE8
Base64: Tug=
One's complement: 45,335 (16-bit)
Scientific notation: 2.02 × 10⁴
As a duration: 20,200 s = 5 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 1000201011

quaternary (4) 10323220

quinary (5) 1121300

senary (6) 233304

septenary (7) 112615

nonary (9) 30634

undecimal (11) 141a4

duodecimal (12) b834

tridecimal (13) 926b

tetradecimal (14) 750c

pentadecimal (15) 5eba

As an angle

20,200° = 56 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓍢𓍢
Greek (Milesian): ͵κσʹ
Mayan (base 20): 𝋢·𝋪·𝋪·𝋠
Chinese: 二萬零二百
Chinese (financial): 貳萬零貳佰

In other modern scripts

Eastern Arabic ٢٠٢٠٠ Devanagari २०२०० Bengali ২০২০০ Tamil ௨௦௨௦௦ Thai ๒๐๒๐๐ Tibetan ༢༠༢༠༠ Khmer ២០២០០ Lao ໒໐໒໐໐ Burmese ၂၀၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 20,200 = 6
e — Euler's number (e): Digit 20,200 = 5
φ — Golden ratio (φ): Digit 20,200 = 0
√2 — Pythagoras's (√2): Digit 20,200 = 8
ln 2 — Natural log of 2: Digit 20,200 = 7
γ — Euler-Mascheroni (γ): Digit 20,200 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20200, here are decompositions:

17 + 20183 = 20200
23 + 20177 = 20200
53 + 20147 = 20200
71 + 20129 = 20200
83 + 20117 = 20200
137 + 20063 = 20200
149 + 20051 = 20200
179 + 20021 = 20200

Showing the first eight; more decompositions exist.

Unicode codepoint

仨

CJK Unified Ideograph-4Ee8

U+4EE8

Other letter (Lo)

UTF-8 encoding: E4 BB A8 (3 bytes).

Lookup U+4EE8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004EE8

RGB(0, 78, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.232.

Address: 0.0.78.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.78.232

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

Position in π

The digit sequence 20200 first appears in π at position 67,006 of the decimal expansion (the 67,006ordinal-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 20200 on Pi Search ↗