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2272214122227 = 337431012768201
BaseRepresentation
bin100001000100001010100…
…000111111111011110011
322001012222111202001001000
4201010022200333323303
5244211443303402402
64455501334213043
7323106404236410
oct41041240777363
98035874661030
102272214122227
117a67056a9935
12308453ab4183
1313636593548a
147bd9365d107
153e18b11dc1c
hex2110a83fef3

2272214122227 has 64 divisors (see below), whose sum is σ = 3975580984320. Its totient is φ = 1255655520000.

The previous prime is 2272214122177. The next prime is 2272214122289. The reversal of 2272214122227 is 7222214122722.

2272214122227 is a `hidden beast` number, since 2 + 272 + 2 + 141 + 22 + 227 = 666.

2272214122227 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2272214122227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2272214122191 and 2272214122200.

It is not an unprimeable number, because it can be changed into a prime (2272214122627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563274 + ... + 2204927.

It is an arithmetic number, because the mean of its divisors is an integer number (62118452880).

Almost surely, 22272214122227 is an apocalyptic number.

2272214122227 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2272214122227 is a deficient number, since it is larger than the sum of its proper divisors (1703366862093).

2272214122227 is a wasteful number, since it uses less digits than its factorization.

2272214122227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768361 (or 2768355 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

Adding to 2272214122227 its reverse (7222214122722), we get a palindrome (9494428244949).

The spelling of 2272214122227 in words is "two trillion, two hundred seventy-two billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred twenty-seven".

Divisors: 1 3 7 9 21 27 43 63 101 129 189 301 303 387 707 903 909 1161 2121 2709 2727 4343 6363 8127 13029 19089 30401 39087 91203 117261 273609 820827 2768201 8304603 19377407 24913809 58132221 74741427 119032643 174396663 279588301 357097929 523189989 833228501 838764903 1071293787 1957118107 2499685503 2516294709 3213881361 5871354321 7499056509 7548884127 12022296943 17614062963 22497169527 36066890829 52842188889 84156078601 108200672487 252468235803 324602017461 757404707409 2272214122227