Search a number
-
+
2260220340345 = 35113791678581
BaseRepresentation
bin100000111000111111101…
…000010110100001111001
322000002000122022210100020
4200320333220112201321
5244012412401342340
64450155250001053
7322203236621322
oct40707750264171
98002018283306
102260220340345
117a1610505000
12306067276189
131351a3b6a016
147b5767bd449
153dbd81ca9d0
hex20e3fa16879

2260220340345 has 128 divisors (see below), whose sum is σ = 4052659322880. Its totient is φ = 1075388371200.

The previous prime is 2260220340337. The next prime is 2260220340359. The reversal of 2260220340345 is 5430430220622.

2260220340345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2260220340345 - 23 = 2260220340337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263393955 + ... + 263402535.

It is an arithmetic number, because the mean of its divisors is an integer number (31661400960).

Almost surely, 22260220340345 is an apocalyptic number.

It is an amenable number.

2260220340345 is a deficient number, since it is larger than the sum of its proper divisors (1792438982535).

2260220340345 is a wasteful number, since it uses less digits than its factorization.

2260220340345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 2260220340345 its reverse (5430430220622), we get a palindrome (7690650560967).

The spelling of 2260220340345 in words is "two trillion, two hundred sixty billion, two hundred twenty million, three hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 79 121 165 167 237 363 395 501 605 835 869 1185 1331 1815 1837 2505 2607 3993 4345 5511 6655 8581 9185 9559 13035 13193 19965 20207 25743 27555 28677 39579 42905 47795 60621 65965 94391 101035 105149 128715 143385 145123 197895 222277 283173 303105 315447 435369 471955 525745 666831 677899 725615 1038301 1111385 1415865 1433027 1577235 1596353 2033697 2176845 3114903 3334155 3389495 4299081 4789059 5191505 7165135 7456889 7981765 10168485 11421311 15574515 15763297 17559883 21495405 22370667 23945295 34263933 37284445 47289891 52679649 57106555 78816485 82025779 87799415 111853335 113209133 171319665 173396267 236449455 246077337 263398245 339627399 410128895 520188801 566045665 866981335 902283569 1230386685 1245300463 1698136995 1907358937 2600944005 2706850707 3735901389 4511417845 5722076811 6226502315 9536794685 13534253535 13698305093 18679506945 28610384055 41094915279 68491525465 150681356023 205474576395 452044068069 753406780115 2260220340345