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22120022212220 = 22519312106356983
BaseRepresentation
bin1010000011110001110000…
…00100001111111001111100
32220022122122101021110120002
411001320320010033321330
510344403301141242340
6115013444203413432
74442055525344012
oct501707004177174
986278571243502
1022120022212220
117059059964349
122593012824278
13c45ba850b79a
14566886d968b2
152855d4c55715
hex141e3810fe7c

22120022212220 has 144 divisors (see below), whose sum is σ = 50573509701120. Its totient is φ = 8104153265280.

The previous prime is 22120022212181. The next prime is 22120022212243. The reversal of 22120022212220 is 2221222002122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22120022212192 and 22120022212201.

It is a congruent number.

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, 388157849 + ... + 388214831.

It is an arithmetic number, because the mean of its divisors is an integer number (351204928480).

Almost surely, 222120022212220 is an apocalyptic number.

22120022212220 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 22120022212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286754850560).

22120022212220 is an abundant number, since it is smaller than the sum of its proper divisors (28453487488900).

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

22120022212220 is a wasteful number, since it uses less digits than its factorization.

22120022212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58136 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22120022212220 its reverse (2221222002122), we get a palindrome (24341244214342).

The spelling of 22120022212220 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 961 1063 1178 1922 2126 2356 2945 3844 4252 4805 5315 5890 9610 10630 11780 18259 19220 20197 21260 32953 36518 40394 56983 65906 73036 80788 91295 100985 113966 131812 164765 182590 201970 227932 284915 329530 365180 403940 569830 626107 659060 1021543 1082677 1139660 1252214 1766473 2043086 2165354 2504428 3130535 3532946 4086172 4330708 5107715 5413385 6261070 7065892 8832365 10215430 10826770 12522140 17664730 19409317 20430860 21653540 33562987 35329460 38818634 54760663 60572929 67125974 77637268 97046585 109521326 121145858 134251948 167814935 194093170 219042652 242291716 273803315 302864645 335629870 388186340 547606630 605729290 671259740 1040452597 1095213260 1150885651 1211458580 1877760799 2080905194 2301771302 3755521598 4161810388 4603542604 5202262985 5754428255 7511043196 9388803995 10404525970 11508856510 18777607990 20809051940 23017713020 35677455181 37555215980 58210584769 71354910362 116421169538 142709820724 178387275905 232842339076 291052923845 356774551810 582105847690 713549103620 1106001110611 1164211695380 2212002221222 4424004442444 5530005553055 11060011106110 22120022212220