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2229460441516 = 22721125119972063
BaseRepresentation
bin100000011100010110001…
…100101001100110101100
321220010121221011000202001
4200130112030221212230
5243011413333112031
64424111110342044
7320034052035100
oct40342614514654
97803557130661
102229460441516
1178a56632a810
1230010195a924
13132311222959
1479c99487900
153ced79eb861
hex207163299ac

2229460441516 has 144 divisors (see below), whose sum is σ = 4975764982272. Its totient is φ = 864307920000.

The previous prime is 2229460441469. The next prime is 2229460441561. The reversal of 2229460441516 is 6151440649222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080687501 + ... + 1080689563.

It is an arithmetic number, because the mean of its divisors is an integer number (34553923488).

Almost surely, 22229460441516 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 2229460441516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487882491136).

2229460441516 is an abundant number, since it is smaller than the sum of its proper divisors (2746304540756).

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

2229460441516 is a wasteful number, since it uses less digits than its factorization.

2229460441516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 2229460441516 in words is "two trillion, two hundred twenty-nine billion, four hundred sixty million, four hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 251 308 502 539 1004 1078 1757 1997 2063 2156 2761 3514 3994 4126 5522 7028 7988 8252 11044 12299 13979 14441 19327 21967 22693 24598 27958 28882 38654 43934 45386 49196 55916 57764 77308 87868 90772 97853 101087 135289 153769 158851 195706 202174 270578 307538 317702 391412 404348 501247 517813 541156 615076 635404 1002494 1035626 1076383 1111957 2004988 2071252 2152766 2223914 3508729 3624691 4119811 4305532 4447828 5513717 5695943 7017458 7249382 8239622 11027434 11391886 14034916 14498764 16479244 22054868 22783772 24561103 25372837 28838677 38596019 39871601 45317921 49122206 50745674 57677354 77192038 79743202 90635842 98244412 101491348 115354708 154384076 159486404 181271684 201870739 270172133 279101207 317225447 403741478 540344266 558202414 634450894 807482956 1034072561 1080688532 1116404828 1268901788 2068145122 2220578129 4136290244 4441156258 7238507927 8882312516 11374798171 14477015854 22749596342 28954031708 45499192684 50669555489 79623587197 101339110978 159247174394 202678221956 318494348788 557365110379 1114730220758 2229460441516