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2100220220 = 225773892309
BaseRepresentation
bin111110100101110…
…1101000100111100
312102100221020112002
41331023231010330
513300124021340
6544223001432
7103021402010
oct17513550474
95370836462
102100220220
1198857959a
124a7439278
13276167177
1415cd06540
15c45ac715
hex7d2ed13c

2100220220 has 96 divisors (see below), whose sum is σ = 5169225600. Its totient is φ = 701927424.

The previous prime is 2100220217. The next prime is 2100220231. The reversal of 2100220220 is 220220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908426 + ... + 910734.

It is an arithmetic number, because the mean of its divisors is an integer number (53846100).

Almost surely, 22100220220 is an apocalyptic number.

2100220220 is a gapful number since it is divisible by the number (20) 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 2100220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584612800).

2100220220 is an abundant number, since it is smaller than the sum of its proper divisors (3069005380).

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

2100220220 is a wasteful number, since it uses less digits than its factorization.

2100220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2100220220 is about 45828.1596837578. The cubic root of 2100220220 is about 1280.6239267790.

Adding to 2100220220 its reverse (220220012), we get a palindrome (2320440232).

The spelling of 2100220220 in words is "two billion, one hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 89 140 146 178 292 356 365 445 511 623 730 890 1022 1246 1460 1780 2044 2309 2492 2555 3115 4618 5110 6230 6497 9236 10220 11545 12460 12994 16163 23090 25988 32326 32485 45479 46180 64652 64970 80815 90958 129940 161630 168557 181916 205501 227395 323260 337114 411002 454790 674228 822004 842785 909580 1027505 1179899 1438507 1685570 2055010 2359798 2877014 3371140 4110020 4719596 5754028 5899495 7192535 11798990 14385070 15001573 23597980 28770140 30003146 60006292 75007865 105011011 150015730 210022022 300031460 420044044 525055055 1050110110 2100220220