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223031543045140 = 22513126331723221
BaseRepresentation
bin110010101101100010010011…
…111001011001110000010100
31002020200121101201011120001101
4302231202103321121300110
5213213122100004421030
62110203135412035444
764656332360140324
oct6255422371316024
91066617351146041
10223031543045140
11650791676a0805
1221021010602b84
13975aa2704b75b
143d10ada0cd284
151abb8679917ca
hexcad893e59c14

223031543045140 has 144 divisors (see below), whose sum is σ = 475382702196864. Its totient is φ = 87889470323200.

The previous prime is 223031543045137. The next prime is 223031543045149. The reversal of 223031543045140 is 41540345130322.

It is a super-2 number, since 2×2230315430451402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223031543045140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223031543045149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69242948730 + ... + 69242951950.

It is an arithmetic number, because the mean of its divisors is an integer number (3301268765256).

Almost surely, 2223031543045140 is an apocalyptic number.

223031543045140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223031543045140 is an abundant number, since it is smaller than the sum of its proper divisors (252351159151724).

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

223031543045140 is a wasteful number, since it uses less digits than its factorization.

223031543045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 223031543045140 its reverse (41540345130322), we get a palindrome (264571888175462).

The spelling of 223031543045140 in words is "two hundred twenty-three trillion, thirty-one billion, five hundred forty-three million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 131 262 263 317 524 526 634 655 1052 1268 1310 1315 1585 2620 2630 3170 3221 5260 6340 6442 12884 16105 32210 34453 41527 64420 68906 83054 83371 100489 137812 166108 166742 172265 200978 207635 333484 344530 401956 415270 416855 421951 502445 689060 830540 833710 843902 847123 1004890 1021057 1667420 1687804 1694246 2009780 2042114 2109755 3388492 4084228 4219510 4235615 5105285 8439020 8471230 10210570 10921601 13164059 16942460 20421140 21843202 26328118 26428607 43686404 52656236 52857214 54608005 65820295 105714428 109216010 110973113 131640590 132143035 133758467 218432020 221946226 263281180 264286070 267516934 268537991 323675069 443892452 528572140 535033868 537075982 554865565 647350138 668792335 1074151964 1109731130 1294700276 1337584670 1342689955 1618375345 2219462260 2675169340 2685379910 3236750690 3462147517 5370759820 6473501380 6924295034 13848590068 17310737585 34621475170 35178476821 42401434039 69242950340 70356953642 84802868078 85126543147 140713907284 169605736156 170253086294 175892384105 212007170195 340506172588 351784768210 424014340390 425632715735 703569536420 848028680780 851265431470 1702530862940 11151577152257 22303154304514 44606308609028 55757885761285 111515771522570 223031543045140