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2216004217 = 73171143831
BaseRepresentation
bin1000010000010101…
…1000101001111001
312201102210200022021
42010011120221321
514014244113332
61003520354441
7105625503460
oct20405305171
95642720267
102216004217
11a37970849
1251a175a21
132941460cb
141704459d7
15ce82dc97
hex84158a79

2216004217 has 16 divisors (see below), whose sum is σ = 2651111424. Its totient is φ = 1812258000.

The previous prime is 2216004211. The next prime is 2216004221. The reversal of 2216004217 is 7124006122.

It is not a de Polignac number, because 2216004217 - 23 = 2216004209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2216004191 and 2216004200.

It is not an unprimeable number, because it can be changed into a prime (2216004211) 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, 56509 + ... + 87322.

It is an arithmetic number, because the mean of its divisors is an integer number (165694464).

Almost surely, 22216004217 is an apocalyptic number.

It is an amenable number.

2216004217 is a deficient number, since it is larger than the sum of its proper divisors (435107207).

2216004217 is a wasteful number, since it uses less digits than its factorization.

2216004217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143940.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2216004217 is about 47074.4539745285. The cubic root of 2216004217 is about 1303.7376100285.

The spelling of 2216004217 in words is "two billion, two hundred sixteen million, four thousand, two hundred seventeen".

Divisors: 1 7 31 71 217 497 2201 15407 143831 1006817 4458761 10212001 31211327 71484007 316572031 2216004217