Search a number
-
+
22210002010240 = 275117343216847
BaseRepresentation
bin1010000110011001010110…
…10001111100000010000000
32220122020220020010210202221
411003030223101330002000
510402342041003311430
6115123044543020424
74451422361120452
oct503145321740200
986566806123687
1022210002010240
117093233137390
1225a854489a714
13c515180a9715
1456ad813162d2
15287aee44157a
hex14332b47c080

22210002010240 has 128 divisors (see below), whose sum is σ = 58716138366720. Its totient is φ = 7965729054720.

The previous prime is 22210002010159. The next prime is 22210002010289. The reversal of 22210002010240 is 4201020001222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 21094504 + ... + 22122343.

It is an arithmetic number, because the mean of its divisors is an integer number (458719830990).

Almost surely, 222210002010240 is an apocalyptic number.

22210002010240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210002010240 is an abundant number, since it is smaller than the sum of its proper divisors (36506136356480).

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

22210002010240 is a wasteful number, since it uses less digits than its factorization.

22210002010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43216950 (or 43216938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22210002010240 its reverse (4201020001222), we get a palindrome (26411022011462).

The spelling of 22210002010240 in words is "twenty-two trillion, two hundred ten billion, two million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 292 320 352 365 440 584 640 704 730 803 880 1168 1408 1460 1606 1760 2336 2920 3212 3520 4015 4672 5840 6424 7040 8030 9344 11680 12848 16060 23360 25696 32120 46720 51392 64240 102784 128480 256960 513920 43216847 86433694 172867388 216084235 345734776 432168470 475385317 691469552 864336940 950770634 1382939104 1728673880 1901541268 2376926585 2765878208 3154829831 3457347760 3803082536 4753853170 5531756416 6309659662 6914695520 7606165072 9507706340 12619319324 13829391040 15212330144 15774149155 19015412680 25238638648 27658782080 30424660288 31548298310 34703128141 38030825360 50477277296 60849320576 63096596620 69406256282 76061650720 100954554592 126193193240 138812512564 152123301440 173515640705 201909109184 252386386480 277625025128 304246602880 347031281410 403818218368 504772772960 555250050256 694062562820 1009545545920 1110500100512 1388125125640 2019091091840 2221000201024 2776250251280 4442000402048 5552500502560 11105001005120 22210002010240