Search a number
-
+
223054043303040 = 2735179649016653
BaseRepresentation
bin110010101101110111010001…
…000001000100110010000000
31002020202202110210101002100120
4302231313101001010302000
5213214004140041144130
62110221340214420240
764661060062156005
oct6255672101046200
91066682423332316
10223054043303040
116508776348a574
122102544b961680
13975cba1716021
143d11c324918ac
151abc232e89910
hexcaddd1044c80

223054043303040 has 128 divisors (see below), whose sum is σ = 714956746046400. Its totient is φ = 59148781596672.

The previous prime is 223054043303009. The next prime is 223054043303041. The reversal of 223054043303040 is 40303340450322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 223054043302992 and 223054043303010.

It is not an unprimeable number, because it can be changed into a prime (223054043303041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324164647 + ... + 324852006.

Almost surely, 2223054043303040 is an apocalyptic number.

223054043303040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223054043303040 is an abundant number, since it is smaller than the sum of its proper divisors (491902702743360).

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

223054043303040 is a wasteful number, since it uses less digits than its factorization.

223054043303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649016854 (or 649016842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 33.

Adding to 223054043303040 its reverse (40303340450322), we get a palindrome (263357383753362).

The spelling of 223054043303040 in words is "two hundred twenty-three trillion, fifty-four billion, forty-three million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 320 358 384 480 537 640 716 895 960 1074 1432 1790 1920 2148 2685 2864 3580 4296 5370 5728 7160 8592 10740 11456 14320 17184 21480 22912 28640 34368 42960 57280 68736 85920 114560 171840 343680 649016653 1298033306 1947049959 2596066612 3245083265 3894099918 5192133224 6490166530 7788199836 9735249795 10384266448 12980333060 15576399672 19470499590 20768532896 25960666120 31152799344 38940999180 41537065792 51921332240 62305598688 77881998360 83074131584 103842664480 116173980887 124611197376 155763996720 207685328960 232347961774 249222394752 311527993440 348521942661 415370657920 464695923548 580869904435 623055986880 697043885322 929391847096 1161739808870 1246111973760 1394087770644 1742609713305 1858783694192 2323479617740 2788175541288 3485219426610 3717567388384 4646959235480 5576351082576 6970438853220 7435134776768 9293918470960 11152702165152 13940877706440 14870269553536 18587836941920 22305404330304 27881755412880 37175673883840 44610808660608 55763510825760 74351347767680 111527021651520 223054043303040