Search a number
-
+
223003254602753 is a prime number
BaseRepresentation
bin110010101101000111111101…
…110001100011110000000001
31002020120220101020110210022222
4302231013331301203300001
5213212141131134242003
62110142140400340425
764654311352301342
oct6255077561436001
91066526336423288
10223003254602753
11650681705a42a9
1221017636914715
13975816944b751
143d0d5b50d80c9
151abac5e250c38
hexcad1fdc63c01

223003254602753 has 2 divisors, whose sum is σ = 223003254602754. Its totient is φ = 223003254602752.

The previous prime is 223003254602749. The next prime is 223003254602789. The reversal of 223003254602753 is 357206452300322.

223003254602753 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., 220767652495504 + 2235602107249 = 14858252^2 + 1495193^2 .

It is a cyclic number.

It is not a de Polignac number, because 223003254602753 - 22 = 223003254602749 is a prime.

It is not a weakly prime, because it can be changed into another prime (223003254607753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111501627301376 + 111501627301377.

It is an arithmetic number, because the mean of its divisors is an integer number (111501627301377).

Almost surely, 2223003254602753 is an apocalyptic number.

It is an amenable number.

223003254602753 is a deficient number, since it is larger than the sum of its proper divisors (1).

223003254602753 is an equidigital number, since it uses as much as digits as its factorization.

223003254602753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 44.

The spelling of 223003254602753 in words is "two hundred twenty-three trillion, three billion, two hundred fifty-four million, six hundred two thousand, seven hundred fifty-three".