Search a number
-
+
222506329 is a prime number
BaseRepresentation
bin11010100001100…
…10110101011001
3120111200111022011
431100302311121
5423430200304
634025025521
75341162333
oct1520626531
9514614264
10222506329
11104665331
12626252a1
1337137466
14217a0453
1514802c04
hexd432d59

222506329 has 2 divisors, whose sum is σ = 222506330. Its totient is φ = 222506328.

The previous prime is 222506327. The next prime is 222506363. The reversal of 222506329 is 923605222.

It is a happy number.

222506329 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., 145154304 + 77352025 = 12048^2 + 8795^2 .

It is a cyclic number.

It is not a de Polignac number, because 222506329 - 21 = 222506327 is a prime.

Together with 222506327, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222506329.

It is not a weakly prime, because it can be changed into another prime (222506327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111253164 + 111253165.

It is an arithmetic number, because the mean of its divisors is an integer number (111253165).

Almost surely, 2222506329 is an apocalyptic number.

It is an amenable number.

222506329 is a deficient number, since it is larger than the sum of its proper divisors (1).

222506329 is an equidigital number, since it uses as much as digits as its factorization.

222506329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 222506329 is about 14916.6460372297. The cubic root of 222506329 is about 605.9648824897.

The spelling of 222506329 in words is "two hundred twenty-two million, five hundred six thousand, three hundred twenty-nine".