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224434210140 = 223257667326693
BaseRepresentation
bin1101000100000101010…
…0100100010101011100
3210110022012120011112100
43101001110210111130
512134120124211030
6251034220005100
722133455211160
oct3210124442534
9713265504470
10224434210140
11872002959a8
12375b6690790
131821957719a
14ac11268ca0
155c88635360
hex344152455c

224434210140 has 144 divisors (see below), whose sum is σ = 778184342208. Its totient is φ = 51289638912.

The previous prime is 224434210139. The next prime is 224434210153. The reversal of 224434210140 is 41012434422.

224434210140 is a `hidden beast` number, since 2 + 2 + 4 + 434 + 210 + 14 + 0 = 666.

It is a congruent number.

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, 8394634 + ... + 8421326.

It is an arithmetic number, because the mean of its divisors is an integer number (5404057932).

Almost surely, 2224434210140 is an apocalyptic number.

224434210140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224434210140 is an abundant number, since it is smaller than the sum of its proper divisors (553750132068).

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

224434210140 is a wasteful number, since it uses less digits than its factorization.

224434210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33388 (or 33383 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224434210140 its reverse (41012434422), we get a palindrome (265446644562).

The spelling of 224434210140 in words is "two hundred twenty-four billion, four hundred thirty-four million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6673 13346 20019 26692 26693 33365 40038 46711 53386 60057 66730 80076 80079 93422 100095 106772 120114 133460 133465 140133 160158 186844 186851 200190 233555 240228 240237 266930 280266 300285 320316 373702 400380 400395 420399 467110 480474 533860 560532 560553 600570 700665 747404 800790 840798 934220 934255 960948 1121106 1201140 1201185 1401330 1601580 1681596 1681659 1868510 2101995 2242212 2402370 2802660 2802765 3363318 3737020 4203990 4804740 5605530 6726636 8407980 8408295 11211060 16816590 33633180 178122389 356244778 534367167 712489556 890611945 1068734334 1246856723 1603101501 1781223890 2137468668 2493713446 2671835835 3206203002 3562447780 3740570169 4987426892 5343671670 6234283615 6412406004 7481140338 8015507505 10687343340 11221710507 12468567230 14962280676 16031015010 18702850845 22443421014 24937134460 32062030020 37405701690 44886842028 56108552535 74811403380 112217105070 224434210140