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82218817 = 1741179659
BaseRepresentation
bin1001110011010…
…00111101000001
312201201011000101
410321220331001
5132022000232
612054122401
72015564002
oct471507501
9181634011
1082218817
114245723a
1223650401
13140592b5
14acc31a9
1573411e7
hex4e68f41

82218817 has 16 divisors (see below), whose sum is σ = 89812800. Its totient is φ = 74959360.

The previous prime is 82218811. The next prime is 82218841. The reversal of 82218817 is 71881228.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82218817 is a prime.

It is a Duffinian number.

Its product of digits (14336) is a multiple of the sum of its prime divisors (896).

It is not an unprimeable number, because it can be changed into a prime (82218811) 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, 124434 + ... + 125092.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 282218817 is an apocalyptic number.

It is an amenable number.

82218817 is a deficient number, since it is larger than the sum of its proper divisors (7593983).

82218817 is a wasteful number, since it uses less digits than its factorization.

82218817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its digits is 14336, while the sum is 37.

The square root of 82218817 is about 9067.4592361918. The cubic root of 82218817 is about 434.8342469739.

The spelling of 82218817 in words is "eighty-two million, two hundred eighteen thousand, eight hundred seventeen".

Divisors: 1 17 41 179 659 697 3043 7339 11203 27019 117961 124763 459323 2005337 4836401 82218817