Search a number
-
+
223012222229 is a prime number
BaseRepresentation
bin1100111110110010010…
…0000111010100010101
3210022122002211200211102
43033230210013110111
512123212112102404
6250241141515445
722053310416626
oct3175444072425
9708562750742
10223012222229
1186640649385
123727a412b85
1318050a9a514
14ab18471a4d
155c0389a71e
hex33ec907515

223012222229 has 2 divisors, whose sum is σ = 223012222230. Its totient is φ = 223012222228.

The previous prime is 223012222217. The next prime is 223012222231. The reversal of 223012222229 is 922222210322.

223012222229 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., 190907824900 + 32104397329 = 436930^2 + 179177^2 .

It is a cyclic number.

It is not a de Polignac number, because 223012222229 - 216 = 223012156693 is a prime.

Together with 223012222231, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223012222249) 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, 111506111114 + 111506111115.

It is an arithmetic number, because the mean of its divisors is an integer number (111506111115).

Almost surely, 2223012222229 is an apocalyptic number.

It is an amenable number.

223012222229 is a deficient number, since it is larger than the sum of its proper divisors (1).

223012222229 is an equidigital number, since it uses as much as digits as its factorization.

223012222229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 223012222229 in words is "two hundred twenty-three billion, twelve million, two hundred twenty-two thousand, two hundred twenty-nine".