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22144529484 = 223271111636869
BaseRepresentation
bin10100100111111010…
…101011010001001100
32010011021211122122200
4110213322223101030
5330322444420414
614101214041500
71412522252310
oct244772532114
963137748580
1022144529484
119434011840
1243601a9290
13211ba86bac
141101043b40
1589917c109
hex527eab44c

22144529484 has 144 divisors (see below), whose sum is σ = 69858996480. Its totient is φ = 5746043520.

The previous prime is 22144529471. The next prime is 22144529573. The reversal of 22144529484 is 48492544122.

22144529484 is a `hidden beast` number, since 2 + 2 + 1 + 44 + 529 + 4 + 84 = 666.

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, 3220402 + ... + 3227270.

It is an arithmetic number, because the mean of its divisors is an integer number (485131920).

Almost surely, 222144529484 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 22144529484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34929498240).

22144529484 is an abundant number, since it is smaller than the sum of its proper divisors (47714466996).

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

22144529484 is a wasteful number, since it uses less digits than its factorization.

22144529484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8055 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 22144529484 in words is "twenty-two billion, one hundred forty-four million, five hundred twenty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1163 1386 2326 2772 3489 4652 6869 6978 8141 10467 12793 13738 13956 16282 20607 20934 24423 25586 27476 32564 38379 41214 41868 48083 48846 51172 61821 73269 75559 76758 82428 89551 96166 97692 115137 123642 144249 146538 151118 153516 179102 192332 226677 230274 247284 268653 288498 293076 302236 358204 432747 453354 460548 528913 537306 576996 680031 805959 865494 906708 1057826 1074612 1360062 1586739 1611918 1730988 2115652 2720124 3173478 3223836 4760217 6346956 7988647 9520434 15977294 19040868 23965941 31954588 47931882 55920529 71897823 87875117 95863764 111841058 143795646 167761587 175750234 223682116 263625351 287591292 335523174 351500468 503284761 527250702 615125819 671046348 790876053 1006569522 1054501404 1230251638 1581752106 1845377457 2013139044 2460503276 3163504212 3690754914 5536132371 7381509828 11072264742 22144529484