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2002201200192 = 263471291171863
BaseRepresentation
bin11101001000101100011…
…111011100011001000000
321002102000211210101222010
4131020230133130121000
5230301002001401232
64131444252212520
7264440261253234
oct35105437343100
97072024711863
102002201200192
117021464200a6
1228405916a140
13116a645c60ab
146cc9ad605c4
15371363850cc
hex1d22c7dc640

2002201200192 has 112 divisors (see below), whose sum is σ = 5414425454592. Its totient is φ = 652690629120.

The previous prime is 2002201200191. The next prime is 2002201200199. The reversal of 2002201200192 is 2910021022002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002201200191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11564053 + ... + 11735915.

It is an arithmetic number, because the mean of its divisors is an integer number (48343084416).

Almost surely, 22002201200192 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 2002201200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707212727296).

2002201200192 is an abundant number, since it is smaller than the sum of its proper divisors (3412224254400).

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

2002201200192 is a wasteful number, since it uses less digits than its factorization.

2002201200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173216 (or 173206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2002201200192 its reverse (2910021022002), we get a palindrome (4912222222194).

The spelling of 2002201200192 in words is "two trillion, two billion, two hundred one million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1291 1504 2256 2582 3008 3873 4512 5164 7746 9024 10328 15492 20656 30984 41312 60677 61968 82624 121354 123936 171863 182031 242708 247872 343726 364062 485416 515589 687452 728124 970832 1031178 1374904 1456248 1941664 2062356 2749808 2912496 3883328 4124712 5499616 5824992 8077561 8249424 10999232 11649984 16155122 16498848 24232683 32310244 32997696 48465366 64620488 96930732 129240976 193861464 221875133 258481952 387722928 443750266 516963904 665625399 775445856 887500532 1331250798 1550891712 1775001064 2662501596 3550002128 5325003192 7100004256 10428131251 10650006384 14200008512 20856262502 21300012768 31284393753 41712525004 42600025536 62568787506 83425050008 125137575012 166850100016 250275150024 333700200032 500550300048 667400400064 1001100600096 2002201200192