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22245540450345 = 32513912492847431
BaseRepresentation
bin1010000111011011100011…
…00010010101000000101001
32220202122121221222121200100
411003231301202111000221
510403432331323402340
6115151243223100013
74454121141641142
oct503556142250051
986678557877610
1022245540450345
1170a730a70a443
1225b34025a1609
13c5498ca23cc4
1456c993142ac9
152889ce3ce830
hex143b71895029

22245540450345 has 48 divisors (see below), whose sum is σ = 38867446800000. Its totient is φ = 11769498823680.

The previous prime is 22245540450323. The next prime is 22245540450391. The reversal of 22245540450345 is 54305404554222.

22245540450345 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 554 + 0 + 4 + 50 + 3 + 45 = 666.

It is not a de Polignac number, because 22245540450345 - 25 = 22245540450313 is a prime.

It is a super-3 number, since 3×222455404503453 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22245540450345.

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 47 ways as a sum of consecutive naturals, for example, 6388780 + ... + 9236210.

It is an arithmetic number, because the mean of its divisors is an integer number (809738475000).

Almost surely, 222245540450345 is an apocalyptic number.

It is an amenable number.

22245540450345 is a deficient number, since it is larger than the sum of its proper divisors (16621906349655).

22245540450345 is a wasteful number, since it uses less digits than its factorization.

22245540450345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848830 (or 2848827 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 22245540450345 in words is "twenty-two trillion, two hundred forty-five billion, five hundred forty million, four hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 139 417 695 1249 1251 2085 3747 6245 6255 11241 18735 56205 173611 520833 868055 1562499 2604165 2847431 7812495 8542293 14237155 25626879 42711465 128134395 395792909 1187378727 1978964545 3556441319 3562136181 5936893635 10669323957 17782206595 17810680905 32007971871 53346619785 160039859355 494345343341 1483036030023 2471726716705 4449108090069 7415180150115 22245540450345