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22149444330 = 23451317123733
BaseRepresentation
bin10100101000001101…
…011011001011101010
32010011122002100120000
4110220031123023222
5330330224204310
614101511243430
71412612112306
oct245015331352
963148070500
1022149444330
1194368693a2
124361979576
13211cab7ca0
141101962d06
158997ed4c0
hex52835b2ea

22149444330 has 160 divisors (see below), whose sum is σ = 67912148304. Its totient is φ = 5131413504.

The previous prime is 22149444277. The next prime is 22149444341. The reversal of 22149444330 is 3344494122.

22149444330 is a `hidden beast` number, since 2 + 214 + 9 + 4 + 4 + 433 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12192797241 + 9956647089 = 110421^2 + 99783^2 .

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 117144 + ... + 240876.

Almost surely, 222149444330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22149444330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956074152).

22149444330 is an abundant number, since it is smaller than the sum of its proper divisors (45762703974).

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

22149444330 is a wasteful number, since it uses less digits than its factorization.

22149444330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123782 (or 123773 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22149444330 in words is "twenty-two billion, one hundred forty-nine million, four hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3978 4590 5265 5967 6630 6885 9945 10530 11934 13770 17901 19890 29835 35802 59670 89505 123733 179010 247466 371199 618665 742398 1113597 1237330 1608529 1855995 2103461 2227194 3217058 3340791 3711990 4206922 4825587 5567985 6310383 6681582 8042645 9651174 10022373 10517305 11135970 12620766 14476761 16085290 16703955 18931149 20044746 21034610 24127935 27344993 28953522 31551915 33407910 37862298 43430283 48255870 50111865 54689986 56793447 63103830 72383805 82034979 86860566 94655745 100223730 113586894 130290849 136724965 144767610 164069958 170380341 189311490 217151415 246104937 260581698 273449930 283967235 340760682 410174895 434302830 492209874 567934470 651454245 738314811 820349790 851901705 1230524685 1302908490 1476629622 1703803410 2214944433 2461049370 3691574055 4429888866 7383148110 11074722165 22149444330