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140,220

140,220 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.).

140,220 (one hundred forty thousand two hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 19 × 41. Its proper divisors sum to 318,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x223BC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
22,041
Recamán's sequence
a(488,387) = 140,220
Square (n²)
19,661,648,400
Cube (n³)
2,756,956,338,648,000
Divisor count
72
σ(n) — sum of divisors
458,640
φ(n) — Euler's totient
34,560
Sum of prime factors
75

Primality

Prime factorization: 2 2 × 3 2 × 5 × 19 × 41

Nearest primes: 140,207 (−13) · 140,221 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 19 · 20 · 30 · 36 · 38 · 41 · 45 · 57 · 60 · 76 · 82 · 90 · 95 · 114 · 123 · 164 · 171 · 180 · 190 · 205 · 228 · 246 · 285 · 342 · 369 · 380 · 410 · 492 · 570 · 615 · 684 · 738 · 779 · 820 · 855 · 1140 · 1230 · 1476 · 1558 · 1710 · 1845 · 2337 · 2460 · 3116 · 3420 · 3690 · 3895 · 4674 · 7011 · 7380 · 7790 · 9348 · 11685 · 14022 · 15580 · 23370 · 28044 · 35055 · 46740 · 70110 (half) · 140220
Aliquot sum (sum of proper divisors): 318,420
Factor pairs (a × b = 140,220)
1 × 140220
2 × 70110
3 × 46740
4 × 35055
5 × 28044
6 × 23370
9 × 15580
10 × 14022
12 × 11685
15 × 9348
18 × 7790
19 × 7380
20 × 7011
30 × 4674
36 × 3895
38 × 3690
41 × 3420
45 × 3116
57 × 2460
60 × 2337
76 × 1845
82 × 1710
90 × 1558
95 × 1476
114 × 1230
123 × 1140
164 × 855
171 × 820
180 × 779
190 × 738
205 × 684
228 × 615
246 × 570
285 × 492
342 × 410
369 × 380
First multiples
140,220 · 280,440 (double) · 420,660 · 560,880 · 701,100 · 841,320 · 981,540 · 1,121,760 · 1,261,980 · 1,402,200

Sums & aliquot sequence

As consecutive integers: 46,739 + 46,740 + 46,741 28,042 + 28,043 + 28,044 + 28,045 + 28,046 17,524 + 17,525 + … + 17,531 15,576 + 15,577 + … + 15,584
Aliquot sequence: 140,220 318,420 697,140 1,473,420 2,971,860 5,349,516 7,689,972 10,302,828 13,792,404 20,084,236 15,143,292 24,802,068 36,553,772 27,415,336 27,942,764 24,171,844 18,168,440 — unresolved within range

Continued fraction of √n

√140,220 = [374; (2, 5, 1, 2, 4, 2, 12, 4, 12, 2, 4, 2, 1, 5, 2, 748)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty thousand two hundred twenty
Ordinal
140220th
Binary
100010001110111100
Octal
421674
Hexadecimal
0x223BC
Base64
AiO8
One's complement
4,294,827,075 (32-bit)
Scientific notation
1.4022 × 10⁵
As a duration
140,220 s = 1 day, 14 hours, 57 minutes
In other bases
ternary (3) 21010100100
quaternary (4) 202032330
quinary (5) 13441340
senary (6) 3001100
septenary (7) 1122543
nonary (9) 233310
undecimal (11) 96393
duodecimal (12) 69190
tridecimal (13) 4ba92
tetradecimal (14) 3915a
pentadecimal (15) 2b830

As an angle

140,220° = 389 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμσκʹ
Mayan (base 20)
𝋱·𝋪·𝋫·𝋠
Chinese
一十四萬零二百二十
Chinese (financial)
壹拾肆萬零貳佰貳拾
In other modern scripts
Eastern Arabic ١٤٠٢٢٠ Devanagari १४०२२० Bengali ১৪০২২০ Tamil ௧௪௦௨௨௦ Thai ๑๔๐๒๒๐ Tibetan ༡༤༠༢༢༠ Khmer ១៤០២២០ Lao ໑໔໐໒໒໐ Burmese ၁၄၀၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 140220, here are decompositions:

  • 13 + 140207 = 140220
  • 23 + 140197 = 140220
  • 29 + 140191 = 140220
  • 43 + 140177 = 140220
  • 53 + 140167 = 140220
  • 61 + 140159 = 140220
  • 97 + 140123 = 140220
  • 109 + 140111 = 140220

Showing the first eight; more decompositions exist.

Unicode codepoint
𢎼
CJK Unified Ideograph-223Bc
U+223BC
Other letter (Lo)

UTF-8 encoding: F0 A2 8E BC (4 bytes).

Hex color
#0223BC
RGB(2, 35, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.35.188.

Address
0.2.35.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.35.188

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 140,220 and was likely granted around 1872.

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

Position in π

The digit sequence 140220 first appears in π at position 77,365 of the decimal expansion (the 77,365ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.