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222201222011120 = 2451119101131579671
BaseRepresentation
bin110010100001011101000000…
…111010000001100011110000
31002010202020012012122200210202
4302201131000322001203300
5213111021100313323440
62104325455430414332
764542336264613232
oct6241350072014360
91063666165580722
10222201222011120
1164889011062410
1220b081038013a8
1396ca640356241
143cc284cc32252
151aa4e6c7ae615
hexca1740e818f0

222201222011120 has 160 divisors (see below), whose sum is σ = 599119088924160. Its totient is φ = 75789889920000.

The previous prime is 222201222011051. The next prime is 222201222011137. The reversal of 222201222011120 is 21110222102222.

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 = 222201222011092 and 222201222011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64101116 + ... + 67478555.

It is an arithmetic number, because the mean of its divisors is an integer number (3744494305776).

Almost surely, 2222201222011120 is an apocalyptic number.

222201222011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201222011120 is an abundant number, since it is smaller than the sum of its proper divisors (376917866913040).

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

222201222011120 is a wasteful number, since it uses less digits than its factorization.

222201222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131579815 (or 131579809 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222201222011120 its reverse (21110222102222), we get a palindrome (243311444113342).

The spelling of 222201222011120 in words is "two hundred twenty-two trillion, two hundred one billion, two hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 101 110 152 176 190 202 209 220 304 380 404 418 440 505 760 808 836 880 1010 1045 1111 1520 1616 1672 1919 2020 2090 2222 3344 3838 4040 4180 4444 5555 7676 8080 8360 8888 9595 11110 15352 16720 17776 19190 21109 22220 30704 38380 42218 44440 76760 84436 88880 105545 153520 168872 211090 337744 422180 844360 1688720 131579671 263159342 526318684 657898355 1052637368 1315796710 1447376381 2105274736 2500013749 2631593420 2894752762 5000027498 5263186840 5789505524 7236881905 10000054996 10526373680 11579011048 12500068745 13289546771 14473763810 20000109992 23158022096 25000137490 26579093542 27500151239 28947527620 40000219984 50000274980 53158187084 55000302478 57895055240 66447733855 100000549960 106316374168 110000604956 115790110480 132895467710 137500756195 146185014481 200001099920 212632748336 220001209912 252501388649 265790935420 275001512390 292370028962 440002419824 505002777298 531581870840 550003024780 584740057924 730925072405 1010005554596 1063163741680 1100006049560 1169480115848 1262506943245 1461850144810 2020011109192 2200012099120 2338960231696 2525013886490 2777515275139 2923700289620 4040022218384 5050027772980 5555030550278 5847400579240 10100055545960 11110061100556 11694801158480 13887576375695 20200111091920 22220122201112 27775152751390 44440244402224 55550305502780 111100611005560 222201222011120