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223011021002220 = 2232511283501397289
BaseRepresentation
bin110010101101001111001100…
…101100000001010111101100
31002020121122102111022202112200
4302231033030230001113230
5213212303032334032340
62110145503153301500
764655004665511363
oct6255171454012754
91066548374282480
10223011021002220
116507049651a160
1221019043864890
139758b064717a9
143d0db107547da
151abb065ea6330
hexcad3ccb015ec

223011021002220 has 144 divisors (see below), whose sum is σ = 737968202768160. Its totient is φ = 54062951040000.

The previous prime is 223011021002153. The next prime is 223011021002239. The reversal of 223011021002220 is 22200120110322.

223011021002220 is a `hidden beast` number, since 2 + 230 + 1 + 1 + 0 + 210 + 0 + 2 + 220 = 666.

223011021002220 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 = 223011021002193 and 223011021002202.

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, 561133336 + ... + 561530624.

It is an arithmetic number, because the mean of its divisors is an integer number (5124779185890).

Almost surely, 2223011021002220 is an apocalyptic number.

223011021002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223011021002220 is an abundant number, since it is smaller than the sum of its proper divisors (514957181765940).

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

223011021002220 is a wasteful number, since it uses less digits than its factorization.

223011021002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680816 (or 680811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223011021002220 its reverse (22200120110322), we get a palindrome (245211141112542).

The spelling of 223011021002220 in words is "two hundred twenty-three trillion, eleven billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 283501 397289 567002 794578 850503 1134004 1191867 1417505 1589156 1701006 1986445 2383734 2551509 2835010 3118511 3402012 3575601 3972890 4252515 4370179 4767468 5103018 5670020 5959335 6237022 7151202 7945780 8505030 8740358 9355533 10206036 11918670 12474044 12757545 13110537 14302404 15592555 17010060 17480716 17878005 18711066 21850895 23837340 25515090 26221074 28066599 31185110 35756010 37422132 39331611 43701790 46777665 51030180 52442148 56133198 62370220 65552685 71512020 78663222 87403580 93555330 112266396 131105370 140332995 157326444 187110660 196658055 262210740 280665990 393316110 561331980 786632220 112631828789 225263657578 337895486367 450527315156 563159143945 675790972734 1013686459101 1126318287890 1238950116679 1351581945468 1689477431835 2027372918202 2252636575780 2477900233358 3378954863670 3716850350037 4054745836404 4955800466716 5068432295505 6194750583395 6757909727340 7433700700074 10136864591010 11150551050111 12389501166790 14867401400148 18584251750185 20273729182020 22301102100222 24779002333580 37168503500370 44602204200444 55752755250555 74337007000740 111505510501110 223011021002220