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222033130289 is a prime number
BaseRepresentation
bin1100111011001000110…
…1001011001100110001
3210020002212111200011222
43032302031023030301
512114210440132124
6250000044314425
722020121316315
oct3166215131461
9706085450158
10222033130289
1186188a06093
1237046542a15
1317c25ca0b89
14aa64407b45
155b9794925e
hex33b234b331

222033130289 has 2 divisors, whose sum is σ = 222033130290. Its totient is φ = 222033130288.

The previous prime is 222033130261. The next prime is 222033130337. The reversal of 222033130289 is 982031330222.

222033130289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201338869264 + 20694261025 = 448708^2 + 143855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222033130289 is a prime.

It is not a weakly prime, because it can be changed into another prime (222033130229) 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, 111016565144 + 111016565145.

It is an arithmetic number, because the mean of its divisors is an integer number (111016565145).

Almost surely, 2222033130289 is an apocalyptic number.

It is an amenable number.

222033130289 is a deficient number, since it is larger than the sum of its proper divisors (1).

222033130289 is an equidigital number, since it uses as much as digits as its factorization.

222033130289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 222033130289 in words is "two hundred twenty-two billion, thirty-three million, one hundred thirty thousand, two hundred eighty-nine".