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217070017 = 2947672377
BaseRepresentation
bin11001111000000…
…11100111000001
3120010110022002021
430330003213001
5421032220032
633312321441
75244031123
oct1474034701
9503408067
10217070017
11101591a0a
1260843281
1335c82bc8
1420b87213
15140cc097
hexcf039c1

217070017 has 16 divisors (see below), whose sum is σ = 232853760. Its totient is φ = 201979008.

The previous prime is 217070011. The next prime is 217070039. The reversal of 217070017 is 710070712.

It is a cyclic number.

It is not a de Polignac number, because 217070017 - 219 = 216545729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217069973 and 217070000.

It is not an unprimeable number, because it can be changed into a prime (217070011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90133 + ... + 92509.

It is an arithmetic number, because the mean of its divisors is an integer number (14553360).

Almost surely, 2217070017 is an apocalyptic number.

It is an amenable number.

217070017 is a deficient number, since it is larger than the sum of its proper divisors (15783743).

217070017 is a wasteful number, since it uses less digits than its factorization.

217070017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 217070017 is about 14733.2962028190. The cubic root of 217070017 is about 600.9891249718.

The spelling of 217070017 in words is "two hundred seventeen million, seventy thousand, seventeen".

Divisors: 1 29 47 67 1363 1943 2377 3149 68933 91321 111719 159259 3239851 4618511 7485173 217070017