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256416197 is a prime number
BaseRepresentation
bin11110100100010…
…01100111000101
3122212111021220012
433102021213011
51011120304242
641235520005
76232334042
oct1722114705
9585437805
10256416197
11121816314
1271a59005
134117ac7b
14260aa1c9
15177a0282
hexf4899c5

256416197 has 2 divisors, whose sum is σ = 256416198. Its totient is φ = 256416196.

The previous prime is 256416143. The next prime is 256416211. The reversal of 256416197 is 791614652.

256416197 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., 217090756 + 39325441 = 14734^2 + 6271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256416197 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256416107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128208098 + 128208099.

It is an arithmetic number, because the mean of its divisors is an integer number (128208099).

Almost surely, 2256416197 is an apocalyptic number.

It is an amenable number.

256416197 is a deficient number, since it is larger than the sum of its proper divisors (1).

256416197 is an equidigital number, since it uses as much as digits as its factorization.

256416197 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 41.

The square root of 256416197 is about 16013.0008742896. Note that the first 3 decimals coincide. The cubic root of 256416197 is about 635.3043342484.

The spelling of 256416197 in words is "two hundred fifty-six million, four hundred sixteen thousand, one hundred ninety-seven".