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220021210220 = 22572679973361
BaseRepresentation
bin1100110011101001001…
…0010011110001101100
3210000220122201112200212
43030322102103301230
512101100412211340
6245024254041552
721616221300200
oct3147222236154
9700818645625
10220021210220
1185346267829
12367847a92b8
1317995212026
14a913128b00
155acaecea65
hex333a493c6c

220021210220 has 144 divisors (see below), whose sum is σ = 546212090592. Its totient is φ = 74213314560.

The previous prime is 220021210177. The next prime is 220021210301. The reversal of 220021210220 is 22012120022.

220021210220 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 220021210195 and 220021210204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65461340 + ... + 65464700.

It is an arithmetic number, because the mean of its divisors is an integer number (3793139518).

Almost surely, 2220021210220 is an apocalyptic number.

220021210220 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 220021210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273106045296).

220021210220 is an abundant number, since it is smaller than the sum of its proper divisors (326190880372).

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

220021210220 is a wasteful number, since it uses less digits than its factorization.

220021210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220021210220 its reverse (22012120022), we get a palindrome (242033330242).

The spelling of 220021210220 in words is "two hundred twenty billion, twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 997 1340 1876 1994 2345 3283 3361 3988 4690 4985 6566 6722 6979 9380 9970 13132 13444 13958 16415 16805 19940 23527 27916 32830 33610 34895 47054 48853 65660 66799 67220 69790 94108 97706 117635 133598 139580 164689 195412 225187 235270 244265 267196 329378 333995 450374 467593 470540 488530 658756 667990 823445 900748 935186 977060 1125935 1335980 1576309 1646890 1870372 2251870 2337965 3152618 3273151 3293780 3350917 4503740 4675930 6305236 6546302 6701834 7881545 9351860 11034163 13092604 13403668 15763090 16365755 16754585 22068326 23456419 31526180 32731510 33509170 44136652 46912838 55170815 65463020 67018340 93825676 110341630 117282095 164194933 220683260 224511439 234564190 328389866 449022878 469128380 656779732 820974665 898045756 1122557195 1571580073 1641949330 2245114390 3143160146 3283898660 4490228780 6286320292 7857900365 11001060511 15715800730 22002121022 31431601460 44004242044 55005302555 110010605110 220021210220