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2205314413 is a prime number
BaseRepresentation
bin1000001101110010…
…0110110101101101
312200200200120122121
42003130212311231
514004030030123
61002455312541
7105435602041
oct20334466555
95620616577
102205314413
11a3192a3a5
1251667b751
13291b72593
1416cc62021
15cd91b75d
hex83726d6d

2205314413 has 2 divisors, whose sum is σ = 2205314414. Its totient is φ = 2205314412.

The previous prime is 2205314411. The next prime is 2205314491. The reversal of 2205314413 is 3144135022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1199029129 + 1006285284 = 34627^2 + 31722^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205314413 - 21 = 2205314411 is a prime.

Together with 2205314411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205314411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102657206 + 1102657207.

It is an arithmetic number, because the mean of its divisors is an integer number (1102657207).

Almost surely, 22205314413 is an apocalyptic number.

It is an amenable number.

2205314413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205314413 is an equidigital number, since it uses as much as digits as its factorization.

2205314413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2205314413 is about 46960.7752597846. The cubic root of 2205314413 is about 1301.6378592766.

Adding to 2205314413 its reverse (3144135022), we get a palindrome (5349449435).

The spelling of 2205314413 in words is "two billion, two hundred five million, three hundred fourteen thousand, four hundred thirteen".