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222221012110020 = 2232571116033262057
BaseRepresentation
bin110010100001101111011100…
…011111010000101011000100
31002010211010021102012212212200
4302201233130133100223010
5213111332113100010040
62104342531301114500
764543636560644460
oct6241573437205304
91063733242185780
10222221012110020
1164896447056650
1220b0bb073b8a30
1396cc4753bb031
143cc37a92b94a0
151aa5729db7630
hexca1bdc7d0ac4

222221012110020 has 144 divisors (see below), whose sum is σ = 840399464032128. Its totient is φ = 46175794721280.

The previous prime is 222221012110003. The next prime is 222221012110081. The reversal of 222221012110020 is 20011210122222.

It is a happy number.

222221012110020 is a `hidden beast` number, since 2 + 222 + 210 + 1 + 211 + 0 + 0 + 20 = 666.

222221012110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222221012109975 and 222221012110002.

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, 8016617169 + ... + 8016644888.

It is an arithmetic number, because the mean of its divisors is an integer number (5836107389112).

Almost surely, 2222221012110020 is an apocalyptic number.

222221012110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221012110020 is an abundant number, since it is smaller than the sum of its proper divisors (618178451922108).

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

222221012110020 is a wasteful number, since it uses less digits than its factorization.

222221012110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033262090 (or 16033262085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222221012110020 its reverse (20011210122222), we get a palindrome (242232222232242).

The spelling of 222221012110020 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 16033262057 32066524114 48099786171 64133048228 80166310285 96199572342 112232834399 144299358513 160332620570 176365882627 192399144684 224465668798 240498930855 288598717026 320665241140 336698503197 352731765254 448931337596 480997861710 529097647881 561164171995 577197434052 673397006394 705463530508 721496792565 881829413135 961995723420 1010095509591 1058195295762 1122328343990 1234561178389 1346794012788 1442993585130 1587292943643 1683492515985 1763658826270 2020191019182 2116390591524 2244656687980 2469122356778 2645488239405 2885987170260 3174585887286 3366985031970 3527317652540 3703683535167 4040382038364 4938244713556 5050477547955 5290976478810 6172805891945 6349171774572 6733970063940 7407367070334 7936464718215 10100955095910 10581952957620 11111050605501 12345611783890 14814734140668 15872929436430 18518417675835 20201910191820 22222101211002 24691223567780 31745858872860 37036835351670 44444202422004 55555253027505 74073670703340 111110506055010 222221012110020