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210221512660 = 225192154918797
BaseRepresentation
bin1100001111001000101…
…1011011011111010100
3202002121200212022212101
43003302023123133110
511421013201401120
6240324024331444
721121325242315
oct3036213333724
9662550768771
10210221512660
1181177621a25
12348aa913b84
1316a92b86713
14a26382660c
1557059da90a
hex30f22db7d4

210221512660 has 72 divisors (see below), whose sum is σ = 466248673800. Its totient is φ = 79607225088.

The previous prime is 210221512621. The next prime is 210221512703. The reversal of 210221512660 is 66215122012.

It can be written as a sum of positive squares in 4 ways, for example, as 34797917764 + 175423594896 = 186542^2 + 418836^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11174382 + ... + 11193178.

It is an arithmetic number, because the mean of its divisors is an integer number (6475676025).

Almost surely, 2210221512660 is an apocalyptic number.

210221512660 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 210221512660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233124336900).

210221512660 is an abundant number, since it is smaller than the sum of its proper divisors (256027161140).

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

210221512660 is a wasteful number, since it uses less digits than its factorization.

210221512660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 210221512660 its reverse (66215122012), we get a palindrome (276436634672).

The spelling of 210221512660 in words is "two hundred ten billion, two hundred twenty-one million, five hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1549 1805 3098 3610 6196 7220 7745 15490 18797 29431 30980 37594 58862 75188 93985 117724 147155 187970 294310 357143 375940 559189 588620 714286 1118378 1428572 1785715 2236756 2795945 3571430 5591890 6785717 7142860 11183780 13571434 27142868 29116553 33928585 58233106 67857170 116466212 135714340 145582765 291165530 553214507 582331060 1106429014 2212858028 2766072535 5532145070 10511075633 11064290140 21022151266 42044302532 52555378165 105110756330 210221512660