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22022012220120 = 23325115561114197
BaseRepresentation
bin1010000000111011001100…
…01101110011001011011000
32212222021122220011222221200
411000131212031303023120
510341302040112020440
6114500434525234200
74432015664222553
oct500354615631330
985867586158850
1022022012220120
117020534870680
12257801b402960
13c39889088313
14561c2a34d69a
15282c9a5a7c30
hex1407663732d8

22022012220120 has 96 divisors (see below), whose sum is σ = 78078043339920. Its totient is φ = 5338669628160.

The previous prime is 22022012220113. The next prime is 22022012220121. The reversal of 22022012220120 is 2102221022022.

22022012220120 is a `hidden beast` number, since 220 + 2 + 201 + 2 + 220 + 1 + 20 = 666.

It is a super-2 number, since 2×220220122201202 (a number of 27 digits) contains 22 as substring.

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 = 22022012220093 and 22022012220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022012220121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780553139 + ... + 2780561058.

Almost surely, 222022012220120 is an apocalyptic number.

22022012220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022012220120 is an abundant number, since it is smaller than the sum of its proper divisors (56056031119800).

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

22022012220120 is a wasteful number, since it uses less digits than its factorization.

22022012220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561114225 (or 5561114218 counting only the distinct ones).

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

Adding to 22022012220120 its reverse (2102221022022), we get a palindrome (24124233242142).

The spelling of 22022012220120 in words is "twenty-two trillion, twenty-two billion, twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5561114197 11122228394 16683342591 22244456788 27805570985 33366685182 44488913576 50050027773 55611141970 61172256167 66733370364 83416712955 100100055546 111222283940 122344512334 133466740728 166833425910 183516768501 200200111092 222444567880 244689024668 250250138865 305861280835 333666851820 367033537002 400400222184 489378049336 500500277730 550550305503 611722561670 667333703640 734067074004 917583842505 1001000555460 1101100611006 1223445123340 1468134148008 1835167685010 2002001110920 2202201222012 2446890246680 2752751527515 3670335370020 4404402444024 5505503055030 7340670740040 11011006110060 22022012220120