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226258587017 is a prime number
BaseRepresentation
bin1101001010111000010…
…0000000110110001001
3210122000100110010010022
43102232010000312021
512201334144241032
6251535230430225
722226620154201
oct3225604006611
9718010403108
10226258587017
1187a5708a291
1237a25662375
131844a520928
14ad45689401
155d438a6512
hex34ae100d89

226258587017 has 2 divisors, whose sum is σ = 226258587018. Its totient is φ = 226258587016.

The previous prime is 226258586993. The next prime is 226258587019. The reversal of 226258587017 is 710785852622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198390958921 + 27867628096 = 445411^2 + 166936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226258587017 is a prime.

Together with 226258587019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226258587017.

It is not a weakly prime, because it can be changed into another prime (226258587019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113129293508 + 113129293509.

It is an arithmetic number, because the mean of its divisors is an integer number (113129293509).

Almost surely, 2226258587017 is an apocalyptic number.

It is an amenable number.

226258587017 is a deficient number, since it is larger than the sum of its proper divisors (1).

226258587017 is an equidigital number, since it uses as much as digits as its factorization.

226258587017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 226258587017 in words is "two hundred twenty-six billion, two hundred fifty-eight million, five hundred eighty-seven thousand, seventeen".