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3220064584 = 2311223612371
BaseRepresentation
bin1011111111101110…
…0100100101001000
322022102010020012021
42333323210211020
523043314031314
61251305054224
7142540045252
oct27773444510
98272106167
103220064584
111402708200
1275a487374
133c4175479
1422792ccd2
1513ca63324
hexbfee4948

3220064584 has 96 divisors (see below), whose sum is σ = 7041424320. Its totient is φ = 1376496000.

The previous prime is 3220064531. The next prime is 3220064587. The reversal of 3220064584 is 4854600223.

It is not an unprimeable number, because it can be changed into a prime (3220064587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356919 + ... + 1359289.

It is an arithmetic number, because the mean of its divisors is an integer number (73348170).

Almost surely, 23220064584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220064584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520712160).

3220064584 is an abundant number, since it is smaller than the sum of its proper divisors (3821359736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3220064584 is a wasteful number, since it uses less digits than its factorization.

3220064584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 3220064584 is about 56745.6129053163. The cubic root of 3220064584 is about 1476.6861245023.

The spelling of 3220064584 in words is "three billion, two hundred twenty million, sixty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 121 122 184 242 244 253 484 488 506 671 968 1012 1342 1403 2024 2371 2684 2783 2806 4742 5368 5566 5612 7381 9484 11132 11224 14762 15433 18968 22264 26081 29524 30866 52162 54533 59048 61732 104324 109066 123464 144631 169763 208648 218132 286891 289262 339526 436264 573782 578524 599863 679052 1147564 1157048 1199726 1358104 1590941 2295128 2399452 3181882 3326513 4798904 6363764 6598493 6653026 12727528 13196986 13306052 17500351 26393972 26612104 35000702 36591643 52787944 70001404 73183286 140002808 146366572 292733144 402508073 805016146 1610032292 3220064584