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218628228349 is a prime number
BaseRepresentation
bin1100101110011101000…
…0100000010011111101
3202220022120120201210201
43023213100200103331
512040222311301344
6244234133403501
721536545164436
oct3134720402375
9686276521721
10218628228349
11847a0a31943
1236456199591
131780274cabb
14a82012248d
155a48a744d4
hex32e74204fd

218628228349 has 2 divisors, whose sum is σ = 218628228350. Its totient is φ = 218628228348.

The previous prime is 218628228271. The next prime is 218628228373. The reversal of 218628228349 is 943822826812.

218628228349 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., 164769422724 + 53858805625 = 405918^2 + 232075^2 .

It is a cyclic number.

It is not a de Polignac number, because 218628228349 - 29 = 218628227837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218628228349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218628223349) 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, 109314114174 + 109314114175.

It is an arithmetic number, because the mean of its divisors is an integer number (109314114175).

Almost surely, 2218628228349 is an apocalyptic number.

It is an amenable number.

218628228349 is a deficient number, since it is larger than the sum of its proper divisors (1).

218628228349 is an equidigital number, since it uses as much as digits as its factorization.

218628228349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5308416, while the sum is 55.

The spelling of 218628228349 in words is "two hundred eighteen billion, six hundred twenty-eight million, two hundred twenty-eight thousand, three hundred forty-nine".