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222231000301 is a prime number
BaseRepresentation
bin1100111011110111111…
…1111111010011101101
3210020121122211111210221
43032331333333103231
512120112114002201
6250031433331341
722025043222652
oct3167577772355
9706548744727
10222231000301
118627a673822
12370a0866b51
1317c57c9081b
14aa827d3c29
155ba9ed24a1
hex33bdfff4ed

222231000301 has 2 divisors, whose sum is σ = 222231000302. Its totient is φ = 222231000300.

The previous prime is 222231000247. The next prime is 222231000427. The reversal of 222231000301 is 103000132222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199460492100 + 22770508201 = 446610^2 + 150899^2 .

It is a cyclic number.

It is not a de Polignac number, because 222231000301 - 29 = 222230999789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222231400301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111115500150 + 111115500151.

It is an arithmetic number, because the mean of its divisors is an integer number (111115500151).

Almost surely, 2222231000301 is an apocalyptic number.

It is an amenable number.

222231000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

222231000301 is an equidigital number, since it uses as much as digits as its factorization.

222231000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 222231000301 its reverse (103000132222), we get a palindrome (325231132523).

The spelling of 222231000301 in words is "two hundred twenty-two billion, two hundred thirty-one million, three hundred one", and thus it is an aban number.