Search a number
-
+
224601315254441 is a prime number
BaseRepresentation
bin110011000100011000010001…
…100111001010000010101001
31002110020200020211112011112222
4303010120101213022002221
5213414331443201120231
62113404230402243425
765210623653563606
oct6304302147120251
91073220224464488
10224601315254441
1165623979131694
12212352a6056575
139842a75644bb8
143d66a93dd76ad
151ae75e045327b
hexcc46119ca0a9

224601315254441 has 2 divisors, whose sum is σ = 224601315254442. Its totient is φ = 224601315254440.

The previous prime is 224601315254363. The next prime is 224601315254467. The reversal of 224601315254441 is 144452513106422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224367325378816 + 233989875625 = 14978896^2 + 483725^2 .

It is a cyclic number.

It is not a de Polignac number, because 224601315254441 - 230 = 224600241512617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224601315254392 and 224601315254401.

It is not a weakly prime, because it can be changed into another prime (224601317254441) 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, 112300657627220 + 112300657627221.

It is an arithmetic number, because the mean of its divisors is an integer number (112300657627221).

Almost surely, 2224601315254441 is an apocalyptic number.

It is an amenable number.

224601315254441 is a deficient number, since it is larger than the sum of its proper divisors (1).

224601315254441 is an equidigital number, since it uses as much as digits as its factorization.

224601315254441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 224601315254441 in words is "two hundred twenty-four trillion, six hundred one billion, three hundred fifteen million, two hundred fifty-four thousand, four hundred forty-one".