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20022110220222 = 233112310069145549
BaseRepresentation
bin1001000110101110000101…
…10001000110111110111110
32121220002120021202001212000
410203113002301012332332
510111020240204021342
6110330010324523130
74134356361550215
oct443270261067676
977802507661760
1020022110220222
11641a369275810
1222b45042504a6
13b230ccc17396
144d310a8d007c
1524ac4aed744c
hex1235c2c46fbe

20022110220222 has 128 divisors (see below), whose sum is σ = 50654194560000. Its totient is φ = 5802893965440.

The previous prime is 20022110220197. The next prime is 20022110220289. The reversal of 20022110220222 is 22202201122002.

20022110220222 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 1 + 0 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20022110220195 and 20022110220204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137489904 + ... + 137635452.

It is an arithmetic number, because the mean of its divisors is an integer number (395735895000).

Almost surely, 220022110220222 is an apocalyptic number.

20022110220222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022110220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327097280000).

20022110220222 is an abundant number, since it is smaller than the sum of its proper divisors (30632084339778).

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

20022110220222 is a wasteful number, since it uses less digits than its factorization.

20022110220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155663 (or 155657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20022110220222 its reverse (22202201122002), we get a palindrome (42224311342224).

The spelling of 20022110220222 in words is "twenty trillion, twenty-two billion, one hundred ten million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 10069 13662 20138 30207 60414 90621 110759 145549 181242 221518 231587 271863 291098 332277 436647 463174 543726 664554 694761 873294 996831 1309941 1389522 1601039 1993662 2084283 2547457 2619882 2990493 3202078 3347627 3929823 4168566 4803117 5094914 5980986 6252849 6695254 7642371 7859646 9606234 10042881 12505698 14409351 15284742 20085762 22927113 28818702 30128643 36823897 43228053 45854226 60257286 68781339 73647794 86456106 90385929 110471691 137562678 180771858 220943382 331415073 662830146 994245219 1465532881 1988490438 2931065762 4396598643 8793197286 13189795929 16120861691 26379591858 32241723382 33707256263 39569387787 48362585073 67414512526 79138775574 96725170146 101121768789 145087755219 202243537578 290175510438 303365306367 370779818893 435263265657 606730612734 741559637786 870526531314 910095919101 1112339456679 1820191838202 2224678913358 3337018370037 6674036740074 10011055110111 20022110220222