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20222101002220 = 22513219881357421
BaseRepresentation
bin1001001100100010100110…
…01001011001011111101100
32122121012202222200102121221
410212101103021121133230
510122304330324032340
6111001523245233124
74154666341262455
oct446212311313754
978535688612557
1020222101002220
116497165910327
1223272188627a4
13b38c22359900
144dca7d69212c
1525105373a44a
hex1264532597ec

20222101002220 has 144 divisors (see below), whose sum is σ = 48459646478880. Its totient is φ = 7065592934400.

The previous prime is 20222101002217. The next prime is 20222101002253. The reversal of 20222101002220 is 2220010122202.

It is a junction number, because it is equal to n+sod(n) for n = 20222101002194 and 20222101002203.

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, 56399110 + ... + 56756530.

It is an arithmetic number, because the mean of its divisors is an integer number (336525322770).

Almost surely, 220222101002220 is an apocalyptic number.

20222101002220 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 20222101002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229823239440).

20222101002220 is an abundant number, since it is smaller than the sum of its proper divisors (28237545476660).

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

20222101002220 is a wasteful number, since it uses less digits than its factorization.

20222101002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358356 (or 358341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20222101002220 its reverse (2220010122202), we get a palindrome (22442111124422).

The spelling of 20222101002220 in words is "twenty trillion, two hundred twenty-two billion, one hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 676 845 881 988 1235 1690 1762 2470 3211 3380 3524 4405 4940 6422 8810 11453 12844 16055 16739 17620 22906 32110 33478 45812 57265 64220 66956 83695 114530 148889 167390 217607 229060 297778 334780 357421 435214 595556 714842 744445 870428 1088035 1429684 1488890 1787105 2176070 2828891 2977780 3574210 4352140 4646473 5657782 6790999 7148420 9292946 11315564 13581998 14144455 18585892 23232365 27163996 28288910 33954995 46464730 56577820 60404149 67909990 88282987 92929460 120808298 135819980 176565974 241616596 302020745 314887901 353131948 441414935 604041490 629775802 882829870 1147678831 1208082980 1259551604 1574439505 1765659740 2295357662 3148879010 4093542713 4590715324 5738394155 5982870119 6297758020 8187085426 11476788310 11965740238 16374170852 20467713565 22953576620 23931480476 29914350595 40935427130 53216055269 59828701190 77777311547 81870854260 106432110538 119657402380 155554623094 212864221076 266080276345 311109246188 388886557735 532160552690 777773115470 1011105050111 1064321105380 1555546230940 2022210100222 4044420200444 5055525250555 10111050501110 20222101002220