Search a number
-
+
225016261117 is a prime number
BaseRepresentation
bin1101000110010000000…
…0111010100111111101
3210111210202210102100221
43101210000322213331
512141313130323432
6251212051221341
722154053442614
oct3214400724775
9714722712327
10225016261117
11874798a446a
12377395a7851
13182b002a04b
14ac6869c87b
155cbe7a9b97
hex346403a9fd

225016261117 has 2 divisors, whose sum is σ = 225016261118. Its totient is φ = 225016261116.

The previous prime is 225016260907. The next prime is 225016261163. The reversal of 225016261117 is 711162610522.

225016261117 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., 142979271876 + 82036989241 = 378126^2 + 286421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225016261117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225016261177) 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, 112508130558 + 112508130559.

It is an arithmetic number, because the mean of its divisors is an integer number (112508130559).

Almost surely, 2225016261117 is an apocalyptic number.

It is an amenable number.

225016261117 is a deficient number, since it is larger than the sum of its proper divisors (1).

225016261117 is an equidigital number, since it uses as much as digits as its factorization.

225016261117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 225016261117 its reverse (711162610522), we get a palindrome (936178871639).

The spelling of 225016261117 in words is "two hundred twenty-five billion, sixteen million, two hundred sixty-one thousand, one hundred seventeen".