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211000222020 = 223572353203311
BaseRepresentation
bin1100010010000010010…
…1111110000101000100
3202011121222010212021210
43010200211332011010
511424112024101040
6240533203011420
721146532203100
oct3044045760504
9664558125253
10211000222020
1181537140885
1234a87669b70
1316b882c38a3
14a2d900c900
15574e059480
hex312097e144

211000222020 has 144 divisors (see below), whose sum is σ = 689208162048. Its totient is φ = 48091760640.

The previous prime is 211000221997. The next prime is 211000222021. The reversal of 211000222020 is 20222000112.

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 = 211000221987 and 211000222005.

It is not an unprimeable number, because it can be changed into a prime (211000222021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936165 + ... + 1139475.

It is an arithmetic number, because the mean of its divisors is an integer number (4786167792).

Almost surely, 2211000222020 is an apocalyptic number.

211000222020 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 211000222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344604081024).

211000222020 is an abundant number, since it is smaller than the sum of its proper divisors (478207940028).

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

211000222020 is a wasteful number, since it uses less digits than its factorization.

211000222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203690 (or 203681 counting only the distinct ones).

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

Adding to 211000222020 its reverse (20222000112), we get a palindrome (231222222132).

The spelling of 211000222020 in words is "two hundred eleven billion, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 353 420 490 588 706 735 980 1059 1412 1470 1765 2118 2471 2940 3530 4236 4942 5295 7060 7413 9884 10590 12355 14826 17297 21180 24710 29652 34594 37065 49420 51891 69188 74130 86485 103782 148260 172970 203311 207564 259455 345940 406622 518910 609933 813244 1016555 1037820 1219866 1423177 2033110 2439732 2846354 3049665 4066220 4269531 5692708 6099330 7115885 8539062 9962239 12198660 14231770 17078124 19924478 21347655 28463540 29886717 39848956 42695310 49811195 59773434 71768783 85390620 99622390 119546868 143537566 149433585 199244780 215306349 287075132 298867170 358843915 430612698 502381481 597734340 717687830 861225396 1004762962 1076531745 1435375660 1507144443 2009525924 2153063490 2511907405 3014288886 3516670367 4306126980 5023814810 6028577772 7033340734 7535722215 10047629620 10550011101 14066681468 15071444430 17583351835 21100022202 30142888860 35166703670 42200044404 52750055505 70333407340 105500111010 211000222020