boxing and unboxing in int and string

I am little bit confused in boxing and unboxing. According to its definition

Boxing is implicit conversion of ValueTypes to Reference Types (Object).
UnBoxing is explicit conversion of Reference Types (Object) to its equivalent ValueTypes.

the best example for describing this is

int i = 123; object o = i;  // boxing

and

o = 123; i = (int)o;  // unboxing 

But my question is that whether int is value type and string is reference type so

int i = 123; string s = i.ToString();

and

s = "123"; i = (int)s; 

Is this an example of boxing and unboxing or not???