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2217284305 = 54111395717
BaseRepresentation
bin1000010000101001…
…0001001011010001
312201112012201020221
42010022101023101
514020111044210
61004004033041
7105642414505
oct20412211321
95645181227
102217284305
11a38665575
1251a692781
132944a3962
1417069a305
15ce9d31da
hex842912d1

2217284305 has 16 divisors (see below), whose sum is σ = 2749786704. Its totient is φ = 1715230720.

The previous prime is 2217284299. The next prime is 2217284339. The reversal of 2217284305 is 5034827122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1496683969 + 720600336 = 38687^2 + 26844^2 .

It is not a de Polignac number, because 2217284305 - 211 = 2217282257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 24694 + ... + 71023.

It is an arithmetic number, because the mean of its divisors is an integer number (171861669).

Almost surely, 22217284305 is an apocalyptic number.

It is an amenable number.

2217284305 is a deficient number, since it is larger than the sum of its proper divisors (532502399).

2217284305 is a wasteful number, since it uses less digits than its factorization.

2217284305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95876.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2217284305 is about 47088.0484305731. The cubic root of 2217284305 is about 1303.9885989647.

The spelling of 2217284305 in words is "two billion, two hundred seventeen million, two hundred eighty-four thousand, three hundred five".

Divisors: 1 5 41 113 205 565 4633 23165 95717 478585 3924397 10816021 19621985 54080105 443456861 2217284305