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225017245638169 is a prime number
BaseRepresentation
bin110011001010011011101000…
…111111101001111000011001
31002111201102211201220212202221
4303022123220333221320121
5213443140304340410134
62114323255014024041
765252650053530215
oct6312335077517031
91074642751825687
10225017245638169
1165774306a80076
12212a1a24348021
13987305c4a34aa
143d7cc6dba9945
151b033356905b4
hexcca6e8fe9e19

225017245638169 has 2 divisors, whose sum is σ = 225017245638170. Its totient is φ = 225017245638168.

The previous prime is 225017245638139. The next prime is 225017245638179. The reversal of 225017245638169 is 961836542710522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129961824006400 + 95055421631769 = 11400080^2 + 9749637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225017245638169 is a prime.

It is a super-2 number, since 2×2250172456381692 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225017245638139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112508622819084 + 112508622819085.

It is an arithmetic number, because the mean of its divisors is an integer number (112508622819085).

It is a 2-persistent number, because it is pandigital, and so is 2⋅225017245638169 = 450034491276338, but 3⋅225017245638169 = 675051736914507 is not.

Almost surely, 2225017245638169 is an apocalyptic number.

It is an amenable number.

225017245638169 is a deficient number, since it is larger than the sum of its proper divisors (1).

225017245638169 is an equidigital number, since it uses as much as digits as its factorization.

225017245638169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 225017245638169 in words is "two hundred twenty-five trillion, seventeen billion, two hundred forty-five million, six hundred thirty-eight thousand, one hundred sixty-nine".