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22020402420 = 223555697963
BaseRepresentation
bin10100100000100001…
…001010110011110100
32002211122021100100000
4110200201022303310
5330044210334140
614041021351300
71406454221652
oct244041126364
962748240300
1022020402420
11937aa41295
124326708530
1320cc146623
1410cc771dd2
1588d30da30
hex52084acf4

22020402420 has 144 divisors (see below), whose sum is σ = 69399570240. Its totient is φ = 5861051136.

The previous prime is 22020402367. The next prime is 22020402427. The reversal of 22020402420 is 2420402022.

22020402420 is a `hidden beast` number, since 2 + 202 + 0 + 40 + 2 + 420 = 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 = 22020402393 and 22020402402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020402427) 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, 2761359 + ... + 2769321.

It is an arithmetic number, because the mean of its divisors is an integer number (481941460).

Almost surely, 222020402420 is an apocalyptic number.

22020402420 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 22020402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34699785120).

22020402420 is an abundant number, since it is smaller than the sum of its proper divisors (47379167820).

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

22020402420 is a wasteful number, since it uses less digits than its factorization.

22020402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22020402420 its reverse (2420402022), we get a palindrome (24440804442).

The spelling of 22020402420 in words is "twenty-two billion, twenty million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 569 810 972 1138 1215 1620 1707 2276 2430 2845 3414 4860 5121 5690 6828 7963 8535 10242 11380 15363 15926 17070 20484 23889 25605 30726 31852 34140 39815 46089 47778 51210 61452 71667 76815 79630 92178 95556 102420 119445 138267 143334 153630 159260 184356 215001 230445 238890 276534 286668 307260 358335 430002 460890 477780 553068 645003 691335 716670 860004 921780 1075005 1290006 1382670 1433340 1935009 2150010 2580012 2765340 3225015 3870018 4300020 4530947 6450030 7740036 9061894 9675045 12900060 13592841 18123788 19350090 22654735 27185682 38700180 40778523 45309470 54371364 67964205 81557046 90618940 122335569 135928410 163114092 203892615 244671138 271856820 367006707 407785230 489342276 611677845 734013414 815570460 1101020121 1223355690 1468026828 1835033535 2202040242 2446711380 3670067070 4404080484 5505100605 7340134140 11010201210 22020402420