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22441304341000 = 235397231353653
BaseRepresentation
bin1010001101001000001011…
…11110010011101000001000
32221110100221002021122121001
411012210011332103220020
510420134242402403000
6115421220510424344
74504221304362136
oct506440576235010
987410832248531
1022441304341000
117172338290a26
1226253375020b4
13c6a28a5337ac
145782447ac756
1528db3a9e046a
hex146905f93a08

22441304341000 has 64 divisors (see below), whose sum is σ = 53054019935280. Its totient is φ = 8883980236800.

The previous prime is 22441304340979. The next prime is 22441304341013. The reversal of 22441304341000 is 14340314422.

It can be written as a sum of positive squares in 8 ways, for example, as 1127330050564 + 21313974290436 = 1061758^2 + 4616706^2 .

It is a super-2 number, since 2×224413043410002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22441304341000.

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 15 ways as a sum of consecutive naturals, for example, 115579827 + ... + 115773826.

Almost surely, 222441304341000 is an apocalyptic number.

22441304341000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22441304341000 is an abundant number, since it is smaller than the sum of its proper divisors (30612715594280).

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

22441304341000 is a wasteful number, since it uses less digits than its factorization.

22441304341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231353771 (or 231353757 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22441304341000 its reverse (14340314422), we get a palindrome (22455644655422).

The spelling of 22441304341000 in words is "twenty-two trillion, four hundred forty-one billion, three hundred four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000 231353653 462707306 925414612 1156768265 1850829224 2313536530 4627073060 5783841325 9254146120 11567682650 22441304341 23135365300 28919206625 44882608682 46270730600 57838413250 89765217364 112206521705 115676826500 179530434728 224413043410 231353653000 448826086820 561032608525 897652173640 1122065217050 2244130434100 2805163042625 4488260868200 5610326085250 11220652170500 22441304341000