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2215145460616 = 23114313711093853
BaseRepresentation
bin100000001111000000111…
…101010101001110001000
321211202200021222122121021
4200033000331111032020
5242243104214214431
64413342422522224
7316016240513644
oct40170075251610
97752607878537
102215145460616
1178448a955790
122b9387896374
13130b6c59c25a
14792dc21bc24
153c94adeab11
hex203c0f55388

2215145460616 has 128 divisors (see below), whose sum is σ = 4675617302400. Its totient is φ = 975156295680.

The previous prime is 2215145460613. The next prime is 2215145460637. The reversal of 2215145460616 is 6160645415122.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2215145460613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574912546 + ... + 574916398.

It is an arithmetic number, because the mean of its divisors is an integer number (36528260175).

Almost surely, 22215145460616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215145460616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337808651200).

2215145460616 is an abundant number, since it is smaller than the sum of its proper divisors (2460471841784).

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

2215145460616 is a wasteful number, since it uses less digits than its factorization.

2215145460616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 2215145460616 in words is "two trillion, two hundred fifteen billion, one hundred forty-five million, four hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 22 43 44 86 88 137 172 274 344 473 548 946 1096 1109 1507 1892 2218 3014 3784 3853 4436 5891 6028 7706 8872 11782 12056 12199 15412 23564 24398 30824 42383 47128 47687 48796 64801 84766 95374 97592 129602 151933 165679 169532 190748 259204 303866 331358 339064 381496 518408 524557 527861 607732 662716 1049114 1055722 1215464 1325432 1671263 1822469 2098228 2111444 3342526 3644938 4196456 4222888 4272977 5806471 6533119 6685052 7289876 8545954 11612942 13066238 13370104 14579752 17091908 22698023 23225884 26132476 34183816 45396046 46451768 47002747 52264952 71864309 90792092 94005494 143728618 181584184 183738011 188010988 249678253 287457236 367476022 376021976 499356506 574914472 585397849 734952044 998713012 1170795698 1469904088 1997426024 2021118121 2341591396 4042236242 4683182792 6439376339 8084472484 12878752678 16168944968 25172107507 25757505356 50344215014 51515010712 100688430028 201376860056 276893182577 553786365154 1107572730308 2215145460616