Number

2,221

2,221 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 8
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 1,222
Recamán's sequence: a(3,309) = 2,221
Square (n²): 4,932,841
Cube (n³): 10,955,839,861
Divisor count: 2
σ(n) — sum of divisors: 2,222
φ(n) — Euler's totient: 2,220

Primality

2,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2221

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,221)

1 × 2221

First multiples

2,221 · 4,442 (double) · 6,663 · 8,884 · 11,105 · 13,326 · 15,547 · 17,768 · 19,989 · 22,210

Sums & aliquot sequence

As a sum of two squares: 14² + 45²

As consecutive integers: 1,110 + 1,111

Representations

In words: two thousand two hundred twenty-one
Ordinal: 2221st
Roman numeral: MMCCXXI
Binary: 100010101101
Octal: 4255
Hexadecimal: 0x8AD
Base64: CK0=
One's complement: 63,314 (16-bit)

In other bases

ternary (3) 10001021

quaternary (4) 202231

quinary (5) 32341

senary (6) 14141

septenary (7) 6322

nonary (9) 3037

undecimal (11) 173a

duodecimal (12) 1351

tridecimal (13) 101b

tetradecimal (14) b49

pentadecimal (15) 9d1

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵βσκαʹ
Mayan (base 20): 𝋥·𝋫·𝋡
Chinese: 二千二百二十一
Chinese (financial): 貳仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ٢٢٢١ Devanagari २२२१ Bengali ২২২১ Tamil ௨௨௨௧ Thai ๒๒๒๑ Tibetan ༢༢༢༡ Khmer ២២២១ Lao ໒໒໒໑ Burmese ၂၂၂၁

Digit at this position in famous constants

π — Pi (π): Digit 2,221 = 1
e — Euler's number (e): Digit 2,221 = 7
φ — Golden ratio (φ): Digit 2,221 = 7
√2 — Pythagoras's (√2): Digit 2,221 = 3
ln 2 — Natural log of 2: Digit 2,221 = 3
γ — Euler-Mascheroni (γ): Digit 2,221 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,213 (gap of 8)
Next prime: 2,237 (gap of 16)

Unicode codepoint

ࢭ

Arabic Letter Low Alef

U+08AD

Other letter (Lo)

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

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

Hex color

#0008AD

RGB(0, 8, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.173.

Address: 0.0.8.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.173

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

Position in π

The digit sequence 2221 first appears in π at position 1,735 of the decimal expansion (the 1,735ordinal-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 2221 on Pi Search ↗