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223031412240 = 243571310212061
BaseRepresentation
bin1100111110110110110…
…1010100011000010000
3210022200102221122120120
43033231231110120100
512123232020142430
6250243105110240
722053632503320
oct3175555243020
9708612848516
10223031412240
118665046609a
1237284928380
1318054a59060
14ab1ac29280
155c053db610
hex33edb54610

223031412240 has 160 divisors (see below), whose sum is σ = 850950702336. Its totient is φ = 47057172480.

The previous prime is 223031412223. The next prime is 223031412257. The reversal of 223031412240 is 42214130322.

It is a happy number.

223031412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223031412223) and next prime (223031412257).

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 223031412240.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5084191 + ... + 5127870.

Almost surely, 2223031412240 is an apocalyptic number.

223031412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223031412240 is an abundant number, since it is smaller than the sum of its proper divisors (627919290096).

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

223031412240 is a wasteful number, since it uses less digits than its factorization.

223031412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212097 (or 10212091 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 223031412240 its reverse (42214130322), we get a palindrome (265245542562).

The spelling of 223031412240 in words is "two hundred twenty-three billion, thirty-one million, four 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 10212061 20424122 30636183 40848244 51060305 61272366 71484427 81696488 102120610 122544732 132756793 142968854 153180915 163392976 204241220 214453281 245089464 265513586 285937708 306361830 357422135 398270379 408482440 428906562 490178928 531027172 571875416 612723660 663783965 714844270 796540758 816964880 857813124 929297551 1062054344 1072266405 1143750832 1225447320 1327567930 1429688540 1593081516 1715626248 1858595102 1991351895 2124108688 2144532810 2450894640 2655135860 2787892653 2859377080 3186163032 3431252496 3717190204 3982703790 4289065620 4646487755 5310271720 5575785306 5718754160 6372326064 7434380408 7965407580 8578131240 9292975510 10620543440 11151570612 13939463265 14868760816 15930815160 17156262480 18585951020 22303141224 27878926530 31861630320 37171902040 44606282448 55757853060 74343804080 111515706120 223031412240