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223243313340 = 223573325715649
BaseRepresentation
bin1100111111101001010…
…1101010000010111100
3210100020012200100020110
43033322111222002330
512124200242011330
6250320114550020
722062114565635
oct3177225520274
9710205610213
10223243313340
118674a037573
1237323898310
131808991c318
14ab3b02888c
155c18ce6db0
hex33fa56a0bc

223243313340 has 96 divisors (see below), whose sum is σ = 633879086400. Its totient is φ = 58694270976.

The previous prime is 223243313291. The next prime is 223243313393. The reversal of 223243313340 is 43313342322.

It is a super-3 number, since 3×2232433133403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223243313298 and 223243313307.

It is a congruent number.

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, 14257836 + ... + 14273484.

It is an arithmetic number, because the mean of its divisors is an integer number (6602907150).

Almost surely, 2223243313340 is an apocalyptic number.

223243313340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223243313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316939543200).

223243313340 is an abundant number, since it is smaller than the sum of its proper divisors (410635773060).

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

223243313340 is a wasteful number, since it uses less digits than its factorization.

223243313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18991 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 223243313340 its reverse (43313342322), we get a palindrome (266556655662).

The spelling of 223243313340 in words is "two hundred twenty-three billion, two hundred forty-three million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3257 4380 6514 9771 13028 15649 16285 19542 31298 32570 39084 46947 48855 62596 65140 78245 93894 97710 156490 187788 195420 234735 237761 312980 469470 475522 713283 938940 951044 1142377 1188805 1426566 2284754 2377610 2853132 3427131 3566415 4569508 4755220 5711885 6854262 7132830 11423770 13708524 14265660 17135655 22847540 34271310 50968793 68542620 101937586 152906379 203875172 254843965 305812758 509687930 611625516 764531895 1019375860 1529063790 3058127580 3720721889 7441443778 11162165667 14882887556 18603609445 22324331334 37207218890 44648662668 55810828335 74414437780 111621656670 223243313340