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223312210213230 = 23452338333127237
BaseRepresentation
bin110010110001100111101100…
…111101101011100101101110
31002021200102211212221222010000
4302301213230331223211232
5213232221401303310410
62110540114011325130
765015526513535365
oct6261475475534556
91067612755858100
10223312210213230
11651771a3a23276
122106749b4507a6
13977b335787b48
143d205237b87dc
151ac3ce2c6ddc0
hexcb19ecf6b96e

223312210213230 has 160 divisors (see below), whose sum is σ = 626732419477824. Its totient is φ = 56945916808704.

The previous prime is 223312210213067. The next prime is 223312210213249. The reversal of 223312210213230 is 32312012213322.

223312210213230 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 1 + 2 + 210 + 213 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223312210213194 and 223312210213203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69845172 + ... + 72972408.

Almost surely, 2223312210213230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223312210213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313366209738912).

223312210213230 is an abundant number, since it is smaller than the sum of its proper divisors (403420209264594).

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

223312210213230 is a wasteful number, since it uses less digits than its factorization.

223312210213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131112 (or 3131103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223312210213230 its reverse (32312012213322), we get a palindrome (255624222426552).

The spelling of 223312210213230 in words is "two hundred twenty-three trillion, three hundred twelve billion, two hundred ten million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1242 1863 2070 3105 3726 3833 6210 7666 9315 11499 18630 19165 22998 34497 38330 57495 68994 88159 103491 114990 172485 176318 206982 264477 310473 344970 440795 517455 528954 620946 793431 881590 1034910 1322385 1552365 1586862 2380293 2644770 3104730 3127237 3967155 4760586 6254474 7140879 7934310 9381711 11901465 14281758 15636185 18763422 23802930 28145133 31272370 35704395 46908555 56290266 71408790 71926451 84435399 93817110 140725665 143852902 168870798 215779353 253306197 281451330 359632255 422176995 431558706 506612394 647338059 719264510 844353990 1078896765 1266530985 1294676118 1942014177 2157793530 2533061970 3236690295 3884028354 5826042531 6473380590 9710070885 11652085062 11986699421 19420141770 23973398842 29130212655 35960098263 58260425310 59933497105 71920196526 107880294789 119866994210 179800491315 215760589578 275694086683 323640884367 359600982630 539401473945 551388173366 647281768734 827082260049 970922653101 1078802947890 1378470433415 1618204421835 1654164520098 1941845306202 2481246780147 2756940866830 3236408843670 4135411300245 4854613265505 4962493560294 7443740340441 8270822600490 9709226531010 12406233900735 14887480680882 22331221021323 24812467801470 37218701702205 44662442042646 74437403404410 111656105106615 223312210213230