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2201210220 = 2235112476451
BaseRepresentation
bin1000001100110011…
…1100110101101100
312200101222001202110
42003030330311230
514002002211340
61002231324020
7105355656336
oct20314746554
95611861673
102201210220
11a2a586900
12515220610
13291066471
1416c4b4456
15cd3aa680
hex8333cd6c

2201210220 has 144 divisors (see below), whose sum is σ = 6919847424. Its totient is φ = 522192000.

The previous prime is 2201210183. The next prime is 2201210279. The reversal of 2201210220 is 220121022.

2201210220 = T20000 + T20001 + ... + T20010.

2201210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201210196 and 2201210205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337995 + ... + 344445.

It is an arithmetic number, because the mean of its divisors is an integer number (48054496).

Almost surely, 22201210220 is an apocalyptic number.

2201210220 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 2201210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459923712).

2201210220 is an abundant number, since it is smaller than the sum of its proper divisors (4718637204).

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

2201210220 is a wasteful number, since it uses less digits than its factorization.

2201210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2201210220 is about 46917.0568130611. The cubic root of 2201210220 is about 1300.8298882528.

Adding to 2201210220 its reverse (220121022), we get a palindrome (2421331242).

The spelling of 2201210220 in words is "two billion, two hundred one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 517 564 605 660 705 726 940 1034 1210 1410 1452 1551 1815 2068 2420 2585 2820 3102 3630 5170 5687 6204 6451 7260 7755 10340 11374 12902 15510 17061 19353 22748 25804 28435 31020 32255 34122 38706 56870 64510 68244 70961 77412 85305 96765 113740 129020 141922 170610 193530 212883 283844 303197 341220 354805 387060 425766 606394 709610 780571 851532 909591 1064415 1212788 1419220 1515985 1561142 1819182 2128830 2341713 3031970 3122284 3335167 3638364 3902855 4257660 4547955 4683426 6063940 6670334 7805710 9095910 9366852 10005501 11708565 13340668 15611420 16675835 18191820 20011002 23417130 33351670 36686837 40022004 46834260 50027505 66703340 73373674 100055010 110060511 146747348 183434185 200110020 220121022 366868370 440242044 550302555 733736740 1100605110 2201210220