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2221200349 is a prime number
BaseRepresentation
bin1000010001100100…
…1101001111011101
312201210120200001121
42010121031033131
514022111402344
61004224010541
7106020614524
oct20431151735
95653520047
102221200349
11a3a89a775
1251ba60a51
13295245244
14170dd94bb
15d0008684
hex8464d3dd

2221200349 has 2 divisors, whose sum is σ = 2221200350. Its totient is φ = 2221200348.

The previous prime is 2221200341. The next prime is 2221200463. The reversal of 2221200349 is 9430021222.

2221200349 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., 1929405625 + 291794724 = 43925^2 + 17082^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221200349 - 23 = 2221200341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221200341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110600174 + 1110600175.

It is an arithmetic number, because the mean of its divisors is an integer number (1110600175).

Almost surely, 22221200349 is an apocalyptic number.

It is an amenable number.

2221200349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221200349 is an equidigital number, since it uses as much as digits as its factorization.

2221200349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2221200349 is about 47129.6122305287. The cubic root of 2221200349 is about 1304.7558248012.

The spelling of 2221200349 in words is "two billion, two hundred twenty-one million, two hundred thousand, three hundred forty-nine".