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223223270273 is a prime number
BaseRepresentation
bin1100111111100100100…
…1001100101110000001
3210100011210222001022122
43033321021030232001
512124130124122043
6250314121214025
722061452330223
oct3177111145601
9710153861278
10223223270273
1186739797953
1237319031315
1318085722413
14ab384cc413
155c17188368
hex33f924cb81

223223270273 has 2 divisors, whose sum is σ = 223223270274. Its totient is φ = 223223270272.

The previous prime is 223223270261. The next prime is 223223270279. The reversal of 223223270273 is 372072322322.

223223270273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222513154369 + 710115904 = 471713^2 + 26648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223223270273 is a prime.

It is a super-3 number, since 3×2232232702733 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223223270279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611635136 + 111611635137.

It is an arithmetic number, because the mean of its divisors is an integer number (111611635137).

Almost surely, 2223223270273 is an apocalyptic number.

It is an amenable number.

223223270273 is a deficient number, since it is larger than the sum of its proper divisors (1).

223223270273 is an equidigital number, since it uses as much as digits as its factorization.

223223270273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 35.

Adding to 223223270273 its reverse (372072322322), we get a palindrome (595295592595).

The spelling of 223223270273 in words is "two hundred twenty-three billion, two hundred twenty-three million, two hundred seventy thousand, two hundred seventy-three".