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22202025424304 = 24112101138182219
BaseRepresentation
bin1010000110001010011111…
…10101101011010110110000
32220121111022022210020221012
411003011033311223112300
510402224222002034204
6115115245241050052
74451020613216045
oct503051765532660
986544268706835
1022202025424304
11708a90a601300
1225a6a99486928
13c5084667399b
1456a825bc51cc
152877d401d76e
hex14314fd6b5b0

22202025424304 has 120 divisors (see below), whose sum is σ = 47785817709840. Its totient is φ = 9984553920000.

The previous prime is 22202025424261. The next prime is 22202025424351. The reversal of 22202025424304 is 40342452020222.

It is a super-2 number, since 2×222020254243042 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 269994107 + ... + 270076325.

It is an arithmetic number, because the mean of its divisors is an integer number (398215147582).

Almost surely, 222202025424304 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 22202025424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892908854920).

22202025424304 is an abundant number, since it is smaller than the sum of its proper divisors (25583792285536).

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

22202025424304 is a wasteful number, since it uses less digits than its factorization.

22202025424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83731 (or 83714 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 22202025424304 its reverse (40342452020222), we get a palindrome (62544477444526).

The spelling of 22202025424304 in words is "twenty-two trillion, two hundred two billion, twenty-five million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1381 1616 1936 2222 2762 4444 5524 8888 11048 12221 15191 17776 22096 24442 30382 48884 60764 82219 97768 121528 139481 164438 167101 195536 243056 278962 328876 334202 557924 657752 668404 904409 1115848 1315504 1336808 1534291 1808818 2231696 2673616 3068582 3617636 6137164 7235272 8304119 9948499 12274328 14470544 16608238 16877201 19896998 24548656 33216476 33754402 39793996 66432952 67508804 79587992 91345309 113544439 132865904 135017608 159175984 182690618 227088878 270035216 365381236 454177756 730762472 908355512 1004798399 1248988829 1461524944 1816711024 2009596798 2497977658 4019193596 4995955316 8038387192 9991910632 11467988339 13738877119 16076774384 19983821264 22935976678 27477754238 45871953356 54955508476 91743906712 109911016952 126147871729 183487813424 219822033904 252295743458 504591486916 1009182973832 1387626589019 2018365947664 2775253178038 5550506356076 11101012712152 22202025424304