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217141713 = 3235336829
BaseRepresentation
bin11001111000101…
…01000111010001
3120010120221102200
430330111013101
5421042013323
633314033413
75244450135
oct1474250721
9503527380
10217141713
11101630868
1260878869
1335ca9729
1420ba53c5
15140e3443
hexcf151d1

217141713 has 12 divisors (see below), whose sum is σ = 313783860. Its totient is φ = 144698976.

The previous prime is 217141703. The next prime is 217141733. The reversal of 217141713 is 317141712.

217141713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149523984 + 67617729 = 12228^2 + 8223^2 .

It is not a de Polignac number, because 217141713 - 25 = 217141681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (217141703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28383 + ... + 35211.

It is an arithmetic number, because the mean of its divisors is an integer number (26148655).

Almost surely, 2217141713 is an apocalyptic number.

It is an amenable number.

217141713 is a deficient number, since it is larger than the sum of its proper divisors (96642147).

217141713 is a wasteful number, since it uses less digits than its factorization.

217141713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10365 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 217141713 is about 14735.7291302467. The cubic root of 217141713 is about 601.0552845361.

Subtracting 217141713 from its reverse (317141712), we obtain a palindrome (99999999).

The spelling of 217141713 in words is "two hundred seventeen million, one hundred forty-one thousand, seven hundred thirteen".

Divisors: 1 3 9 3533 6829 10599 20487 31797 61461 24126857 72380571 217141713