Live analysis

122,200

122,200 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.).

122,200 (one hundred twenty-two thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 13 × 47. Its proper divisors sum to 190,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD58.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

122,188 122,189 122,190 122,191 122,192 122,193 122,194 122,195 122,196 122,197 122,198 122,199 122,200 122,201 122,202 122,203 122,204 122,205 122,206 122,207 122,208 122,209 122,210 122,211 122,212

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 2,221
Square (n²): 14,932,840,000
Cube (n³): 1,824,793,048,000,000
Divisor count: 48
σ(n) — sum of divisors: 312,480
φ(n) — Euler's totient: 44,160
Sum of prime factors: 76

Primality

Prime factorization: 2 ³ × 5 ² × 13 × 47

Nearest primes: 122,173 (−27) · 122,201 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 25 · 26 · 40 · 47 · 50 · 52 · 65 · 94 · 100 · 104 · 130 · 188 · 200 · 235 · 260 · 325 · 376 · 470 · 520 · 611 · 650 · 940 · 1175 · 1222 · 1300 · 1880 · 2350 · 2444 · 2600 · 3055 · 4700 · 4888 · 6110 · 9400 · 12220 · 15275 · 24440 · 30550 · 61100 (half) · 122200

Aliquot sum (sum of proper divisors): 190,280

Factor pairs (a × b = 122,200)

1 × 122200

2 × 61100

4 × 30550

5 × 24440

8 × 15275

10 × 12220

13 × 9400

20 × 6110

25 × 4888

26 × 4700

40 × 3055

47 × 2600

50 × 2444

52 × 2350

65 × 1880

94 × 1300

100 × 1222

104 × 1175

130 × 940

188 × 650

200 × 611

235 × 520

260 × 470

325 × 376

First multiples

122,200 · 244,400 (double) · 366,600 · 488,800 · 611,000 · 733,200 · 855,400 · 977,600 · 1,099,800 · 1,222,000

Sums & aliquot sequence

As consecutive integers: 24,438 + 24,439 + 24,440 + 24,441 + 24,442 9,394 + 9,395 + … + 9,406 7,630 + 7,631 + … + 7,645 4,876 + 4,877 + … + 4,900

Aliquot sequence: 122,200 → 190,280 → 250,360 → 365,240 → 494,440 → 646,040 → 857,320 → 1,071,740 → 1,235,572 → 1,093,104 → 1,966,472 → 1,735,828 → 1,311,104 → 1,301,116 → 987,044 → 840,796 → 789,140 — unresolved within range

Continued fraction of √n

√122,200 = [349; (1, 1, 3, 77, 2, 1, 1, 11, 1, 7, 1, 2, 2, 5, 2, 1, 5, 2, 1, 13, 1, 1, 2, 1, …)]

Representations

In words: one hundred twenty-two thousand two hundred
Ordinal: 122200th
Binary: 11101110101011000
Octal: 356530
Hexadecimal: 0x1DD58
Base64: Ad1Y
One's complement: 4,294,845,095 (32-bit)
Scientific notation: 1.222 × 10⁵
As a duration: 122,200 s = 1 day, 9 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 20012121221

quaternary (4) 131311120

quinary (5) 12402300

senary (6) 2341424

septenary (7) 1016161

nonary (9) 205557

undecimal (11) 838a1

duodecimal (12) 5a874

tridecimal (13) 43810

tetradecimal (14) 32768

pentadecimal (15) 2631a

As an angle

122,200° = 339 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓍢𓍢
Greek (Milesian): ͵ρκβσʹ
Mayan (base 20): 𝋯·𝋥·𝋪·𝋠
Chinese: 一十二萬二千二百
Chinese (financial): 壹拾貳萬貳仟貳佰

In other modern scripts

Eastern Arabic ١٢٢٢٠٠ Devanagari १२२२०० Bengali ১২২২০০ Tamil ௧௨௨௨௦௦ Thai ๑๒๒๒๐๐ Tibetan ༡༢༢༢༠༠ Khmer ១២២២០០ Lao ໑໒໒໒໐໐ Burmese ၁၂၂၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122200, here are decompositions:

53 + 122147 = 122200
83 + 122117 = 122200
101 + 122099 = 122200
131 + 122069 = 122200
149 + 122051 = 122200
167 + 122033 = 122200
173 + 122027 = 122200
179 + 122021 = 122200

Showing the first eight; more decompositions exist.

Hex color

#01DD58

RGB(1, 221, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.88.

Address: 0.1.221.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.221.88

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,200 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US122,200 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 122200 first appears in π at position 236,129 of the decimal expansion (the 236,129ordinal-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 122200 on Pi Search ↗