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3000020220 = 2233510695197
BaseRepresentation
bin1011001011010000…
…1010110011111100
321202002001211002000
42302310022303330
522121001121340
61213404502300
7134225515431
oct26264126374
97662054060
103000020220
1112aa48465a
126b884a990
1338a6c07c2
1420660db88
15128599d30
hexb2d0acfc

3000020220 has 96 divisors (see below), whose sum is σ = 9343924800. Its totient is φ = 799103232.

The previous prime is 3000020197. The next prime is 3000020237. The reversal of 3000020220 is 220200003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574662 + ... + 579858.

It is an arithmetic number, because the mean of its divisors is an integer number (97332550).

Almost surely, 23000020220 is an apocalyptic number.

3000020220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671962400).

3000020220 is an abundant number, since it is smaller than the sum of its proper divisors (6343904580).

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

3000020220 is a wasteful number, since it uses less digits than its factorization.

3000020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3000020220 is about 54772.4403327075. The cubic root of 3000020220 is about 1442.2528105542.

Adding to 3000020220 its reverse (220200003), we get a palindrome (3220220223).

The spelling of 3000020220 in words is "three billion, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1069 2138 3207 4276 5197 5345 6414 9621 10394 10690 12828 15591 16035 19242 20788 21380 25985 28863 31182 32070 38484 46773 48105 51970 57726 62364 64140 77955 93546 96210 103940 115452 140319 144315 155910 187092 192420 233865 280638 288630 311820 467730 561276 577260 701595 935460 1403190 2806380 5555593 11111186 16666779 22222372 27777965 33333558 50000337 55555930 66667116 83333895 100000674 111111860 150001011 166667790 200001348 250001685 300002022 333335580 500003370 600004044 750005055 1000006740 1500010110 3000020220