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2002000217 = 75311174831
BaseRepresentation
bin111011101010100…
…0001100101011001
312011112010011000012
41313111001211121
513100003001332
6530353451305
7100416502220
oct16725014531
95145104005
102002000217
11938093438
1247a570b35
1325b9c7919
1414dc59cb7
15bab5a3b2
hex77541959

2002000217 has 16 divisors (see below), whose sum is σ = 2333740032. Its totient is φ = 1681767360.

The previous prime is 2002000199. The next prime is 2002000219. The reversal of 2002000217 is 7120002002.

It is not a de Polignac number, because 2002000217 - 26 = 2002000153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002000219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411992 + ... + 416822.

It is an arithmetic number, because the mean of its divisors is an integer number (145858752).

Almost surely, 22002000217 is an apocalyptic number.

It is an amenable number.

2002000217 is a deficient number, since it is larger than the sum of its proper divisors (331739815).

2002000217 is a wasteful number, since it uses less digits than its factorization.

2002000217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2002000217 is about 44743.7170673157. The cubic root of 2002000217 is about 1260.3409292015.

Adding to 2002000217 its reverse (7120002002), we get a palindrome (9122002219).

The spelling of 2002000217 in words is "two billion, two million, two hundred seventeen", and thus it is an aban number.

Divisors: 1 7 53 371 1117 4831 7819 33817 59201 256043 414407 1792301 5396227 37773589 286000031 2002000217