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224014212240 = 243571310257061
BaseRepresentation
bin1101000010100001001…
…0011001110010010000
3210102012221021001201120
43100220102121302100
512132240114242430
6250524414002240
722120165246410
oct3205022316220
9712187231646
10224014212240
11870052012a5
12374b9aa6380
1318180553410
14abb157a640
155c61821610
hex3428499c90

224014212240 has 160 divisors (see below), whose sum is σ = 854700462336. Its totient is φ = 47264532480.

The previous prime is 224014212239. The next prime is 224014212259. The reversal of 224014212240 is 42212410422.

It is a happy number.

224014212240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224014212240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5106691 + ... + 5150370.

Almost surely, 2224014212240 is an apocalyptic number.

224014212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224014212240 is an abundant number, since it is smaller than the sum of its proper divisors (630686250096).

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

224014212240 is a wasteful number, since it uses less digits than its factorization.

224014212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257097 (or 10257091 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 224014212240 its reverse (42212410422), we get a palindrome (266226622662).

The spelling of 224014212240 in words is "two hundred twenty-four billion, fourteen million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 10257061 20514122 30771183 41028244 51285305 61542366 71799427 82056488 102570610 123084732 133341793 143598854 153855915 164112976 205141220 215398281 246169464 266683586 287197708 307711830 358997135 400025379 410282440 430796562 492338928 533367172 574395416 615423660 666708965 717994270 800050758 820564880 861593124 933392551 1066734344 1076991405 1148790832 1230847320 1333417930 1435988540 1600101516 1723186248 1866785102 2000126895 2133468688 2153982810 2461694640 2666835860 2800177653 2871977080 3200203032 3446372496 3733570204 4000253790 4307965620 4666962755 5333671720 5600355306 5743954160 6400406064 7467140408 8000507580 8615931240 9333925510 10667343440 11200710612 14000888265 14934280816 16001015160 17231862480 18667851020 22401421224 28001776530 32002030320 37335702040 44802842448 56003553060 74671404080 112007106120 224014212240