Search a number
-
+
225301165644041 is a prime number
BaseRepresentation
bin110011001110100100000011…
…111100100001100100001001
31002112201120200121111120101222
4303032210003330201210021
5214012313241401102131
62115101532053051425
765312320626002324
oct6316440374414411
91075646617446358
10225301165644041
1165873762464823
1221328a60626b75
139893a68abb376
143d8c8c54b57bb
151b0a90130687b
hexcce903f21909

225301165644041 has 2 divisors, whose sum is σ = 225301165644042. Its totient is φ = 225301165644040.

The previous prime is 225301165644029. The next prime is 225301165644223. The reversal of 225301165644041 is 140446561103522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207437652068416 + 17863513575625 = 14402696^2 + 4226525^2 .

It is a cyclic number.

It is not a de Polignac number, because 225301165644041 - 222 = 225301161449737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225301165643983 and 225301165644001.

It is not a weakly prime, because it can be changed into another prime (225301165644641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112650582822020 + 112650582822021.

It is an arithmetic number, because the mean of its divisors is an integer number (112650582822021).

Almost surely, 2225301165644041 is an apocalyptic number.

It is an amenable number.

225301165644041 is a deficient number, since it is larger than the sum of its proper divisors (1).

225301165644041 is an equidigital number, since it uses as much as digits as its factorization.

225301165644041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 225301165644041 in words is "two hundred twenty-five trillion, three hundred one billion, one hundred sixty-five million, six hundred forty-four thousand, forty-one".