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2000415217 is a prime number
BaseRepresentation
bin111011100111011…
…1110100111110001
312011102010121210111
41313032332213301
513044101241332
6530255501321
7100400151223
oct16716764761
95142117714
102000415217
11937200619
12479b27841
1325b591358
1414d966413
15ba945947
hex773be9f1

2000415217 has 2 divisors, whose sum is σ = 2000415218. Its totient is φ = 2000415216.

The previous prime is 2000415203. The next prime is 2000415223. The reversal of 2000415217 is 7125140002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1887120481 + 113294736 = 43441^2 + 10644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000415217 - 211 = 2000413169 is a prime.

It is a super-3 number, since 3×20004152173 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2000415257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000207608 + 1000207609.

It is an arithmetic number, because the mean of its divisors is an integer number (1000207609).

Almost surely, 22000415217 is an apocalyptic number.

It is an amenable number.

2000415217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000415217 is an equidigital number, since it uses as much as digits as its factorization.

2000415217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 2000415217 is about 44726.0015762643. The cubic root of 2000415217 is about 1260.0082339682.

Adding to 2000415217 its reverse (7125140002), we get a palindrome (9125555219).

The spelling of 2000415217 in words is "two billion, four hundred fifteen thousand, two hundred seventeen".