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82003229 = 7111064977
BaseRepresentation
bin1001110001101…
…00010100011101
312201022012021122
410320310110131
5131443100404
612045340325
72014005320
oct470642435
9181265248
1082003229
114231a270
12235676a5
1313cb2129
14ac687b7
1572ec3be
hex4e3451d

82003229 has 8 divisors (see below), whose sum is σ = 102237888. Its totient is φ = 63898560.

The previous prime is 82003199. The next prime is 82003231. The reversal of 82003229 is 92230028.

82003229 = 10822 + 10832 + ... + 11472.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82003229 - 212 = 81999133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82003198 and 82003207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000229) 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 7 ways as a sum of consecutive naturals, for example, 532412 + ... + 532565.

It is an arithmetic number, because the mean of its divisors is an integer number (12779736).

Almost surely, 282003229 is an apocalyptic number.

It is an amenable number.

82003229 is a deficient number, since it is larger than the sum of its proper divisors (20234659).

82003229 is a wasteful number, since it uses less digits than its factorization.

82003229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064995.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 82003229 is about 9055.5634280811. The cubic root of 82003229 is about 434.4538510755.

The spelling of 82003229 in words is "eighty-two million, three thousand, two hundred twenty-nine".

Divisors: 1 7 11 77 1064977 7454839 11714747 82003229