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22530065661444 = 223112101613250619
BaseRepresentation
bin1010001111101101100001…
…00011110111111000000100
32221202212001000100220210210
411013312300203313320010
510423113033302131234
6115530100321515420
74513513013222055
oct507666043677004
987685030326723
1022530065661444
1171a6a46787800
12263a5894a2b70
13c7576483aa93
1457c664d8c72c
152910d3240be9
hex147db08f7e04

22530065661444 has 144 divisors (see below), whose sum is σ = 58451268536640. Its totient is φ = 6748641504000.

The previous prime is 22530065661421. The next prime is 22530065661457. The reversal of 22530065661444 is 44416656003522.

It is a junction number, because it is equal to n+sod(n) for n = 22530065661393 and 22530065661402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89772367 + ... + 90022985.

It is an arithmetic number, because the mean of its divisors is an integer number (405911587060).

Almost surely, 222530065661444 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 22530065661444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225634268320).

22530065661444 is an abundant number, since it is smaller than the sum of its proper divisors (35921202875196).

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

22530065661444 is a wasteful number, since it uses less digits than its factorization.

22530065661444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251362 (or 251349 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 22530065661444 in words is "twenty-two trillion, five hundred thirty billion, sixty-five million, six hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 613 726 1111 1212 1226 1452 1839 2222 2452 3333 3678 4444 6666 6743 7356 12221 13332 13486 20229 24442 26972 36663 40458 48884 61913 73326 74173 80916 123826 146652 148346 185739 222519 247652 250619 296692 371478 445038 501238 681043 742956 751857 890076 1002476 1362086 1503714 2043129 2724172 2756809 3007428 4086258 5513618 7491473 8172516 8270427 11027236 14982946 16540854 22474419 25312519 29965892 30324899 33081708 44948838 50625038 60649798 75937557 89897676 90974697 101250076 121299596 151875114 153629447 181949394 278437709 303750228 307258894 363898788 460888341 556875418 614517788 835313127 921776682 1113750836 1670626254 1689923917 1843553364 3062814799 3341252508 3379847834 5069771751 6125629598 6759695668 9188444397 10139543502 12251259196 15516574147 18376888794 18589163087 20279087004 31033148294 36753777588 37178326174 46549722441 55767489261 62066296588 74356652348 93099444882 111534978522 170682315617 186198889764 223069957044 341364631234 512046946851 682729262468 1024093893702 1877505471787 2048187787404 3755010943574 5632516415361 7510021887148 11265032830722 22530065661444