Search a number
-
+
225144323441561 is a prime number
BaseRepresentation
bin110011001100010001111111…
…011011000000001110011001
31002112011120212000020011020202
4303030101333123000032121
5214002231033300112221
62114501512504231545
765265066135166016
oct6314217733001631
91075146760204222
10225144323441561
116581319809a687
122130258a46b5b5
139882031b350b4
143d8508712270d
151b067c1bccd0b
hexccc47f6c0399

225144323441561 has 2 divisors, whose sum is σ = 225144323441562. Its totient is φ = 225144323441560.

The previous prime is 225144323441519. The next prime is 225144323441567. The reversal of 225144323441561 is 165144323441522.

225144323441561 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., 221964378543961 + 3179944897600 = 14898469^2 + 1783240^2 .

It is a cyclic number.

It is not a de Polignac number, because 225144323441561 - 218 = 225144323179417 is a prime.

It is a super-2 number, since 2×2251443234415612 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225144323441567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112572161720780 + 112572161720781.

It is an arithmetic number, because the mean of its divisors is an integer number (112572161720781).

Almost surely, 2225144323441561 is an apocalyptic number.

It is an amenable number.

225144323441561 is a deficient number, since it is larger than the sum of its proper divisors (1).

225144323441561 is an equidigital number, since it uses as much as digits as its factorization.

225144323441561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2764800, while the sum is 47.

The spelling of 225144323441561 in words is "two hundred twenty-five trillion, one hundred forty-four billion, three hundred twenty-three million, four hundred forty-one thousand, five hundred sixty-one".