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2000217 = 32983277
BaseRepresentation
bin111101000010101011001
310202121210010
413220111121
51003001332
6110512133
723000352
oct7502531
93677703
102000217
11114687a
12805649
1355057b
143a0d29
152979cc
hex1e8559

2000217 has 16 divisors (see below), whose sum is σ = 2802240. Its totient is φ = 1267392.

The previous prime is 2000209. The next prime is 2000221. The reversal of 2000217 is 7120002.

It is not a de Polignac number, because 2000217 - 23 = 2000209 is a prime.

2000217 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7083 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (175140).

22000217 is an apocalyptic number.

It is an amenable number.

2000217 is a deficient number, since it is larger than the sum of its proper divisors (802023).

2000217 is a wasteful number, since it uses less digits than its factorization.

2000217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2000217 is about 1414.2902813779. The cubic root of 2000217 is about 125.9966615392.

Adding to 2000217 its reverse (7120002), we get a palindrome (9120219).

It can be divided in two parts, 200021 and 7, that added together give a triangular number (200028 = T632).

The spelling of 2000217 in words is "two million, two hundred seventeen", and thus it is an aban number.

Divisors: 1 3 29 83 87 249 277 831 2407 7221 8033 22991 24099 68973 666739 2000217