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223212344040 = 233257212653761
BaseRepresentation
bin1100111111100001111…
…1100001001011101000
3210100011001101221100100
43033320133201023220
512124114330002130
6250313051105400
722061260422300
oct3177037411350
9710131357310
10223212344040
1186733604904
1237315442260
13180833980aa
14ab36c86600
155c1622ac60
hex33f87e12e8

223212344040 has 144 divisors (see below), whose sum is σ = 843879387780. Its totient is φ = 51019960320.

The previous prime is 223212344009. The next prime is 223212344053. The reversal of 223212344040 is 40443212322.

223212344040 is a `hidden beast` number, since 2 + 2 + 3 + 21 + 234 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216442674756 + 6769669284 = 465234^2 + 82278^2 .

It is a super-3 number, since 3×2232123440403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223212343995 and 223212344013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6309241 + ... + 6344520.

Almost surely, 2223212344040 is an apocalyptic number.

223212344040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223212344040 is an abundant number, since it is smaller than the sum of its proper divisors (620667043740).

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

223212344040 is a wasteful number, since it uses less digits than its factorization.

223212344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653792 (or 12653778 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 223212344040 its reverse (40443212322), we get a palindrome (263655556362).

The spelling of 223212344040 in words is "two hundred twenty-three billion, two hundred twelve million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 12653761 25307522 37961283 50615044 63268805 75922566 88576327 101230088 113883849 126537610 151845132 177152654 189806415 227767698 253075220 265728981 303690264 354305308 379612830 442881635 455535396 506150440 531457962 569419245 620034289 708610616 759225660 797186943 885763270 911070792 1062915924 1138838490 1240068578 1328644905 1518451320 1594373886 1771526540 1860102867 2125831848 2277676980 2480137156 2657289810 3100171445 3188747772 3543053080 3720205734 3985934715 4555353960 4960274312 5314579620 5580308601 6200342890 6377495544 7440411468 7971869430 9300514335 10629159240 11160617202 12400685780 14880822936 15943738860 18601028670 22321234404 24801371560 27901543005 31887477720 37202057340 44642468808 55803086010 74404114680 111606172020 223212344040