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14223253332200 = 23521124259137999
BaseRepresentation
bin1100111011111001101111…
…1101100110000011101000
31212100201200222110022021212
43032332123331212003220
53331013210323112300
650130023344452252
72665411322355023
oct316763375460350
955321628408255
1014223253332200
114594058785500
12171868a91a088
137c2329970593
143725a29441ba
15199ea5a23935
hexcef9bf660e8

14223253332200 has 144 divisors (see below), whose sum is σ = 36357438600000. Its totient is φ = 5170840259200.

The previous prime is 14223253332151. The next prime is 14223253332241. The reversal of 14223253332200 is 223335232241.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102998801 + ... + 103136799.

It is an arithmetic number, because the mean of its divisors is an integer number (252482212500).

Almost surely, 214223253332200 is an apocalyptic number.

14223253332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223253332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178719300000).

14223253332200 is an abundant number, since it is smaller than the sum of its proper divisors (22134185267800).

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

14223253332200 is a wasteful number, since it uses less digits than its factorization.

14223253332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142296 (or 142276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 14223253332200 its reverse (223335232241), we get a palindrome (14446588564441).

The spelling of 14223253332200 in words is "fourteen trillion, two hundred twenty-three billion, two hundred fifty-three million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4259 4840 6050 8518 12100 17036 21295 24200 34072 42590 46849 85180 93698 106475 137999 170360 187396 212950 234245 275998 374792 425900 468490 515339 551996 689995 851800 936980 1030678 1103992 1171225 1379990 1517989 1873960 2061356 2342450 2576695 2759980 3035978 3449975 4122712 4684900 5153390 5519960 6071956 6899950 7589945 9369800 10306780 12143912 12883475 13799900 15179890 16697879 20613560 25766950 27599800 30359780 33395758 37949725 51533900 60719560 66791516 75899450 83489395 103067800 133583032 151798900 166978790 303597800 333957580 417446975 587737741 667915160 834893950 1175475482 1669787900 2350950964 2938688705 3339575800 4701901928 5877377410 6465115151 11754754820 12930230302 14693443525 23509509640 25860460604 29386887050 32325575755 51720921208 58773774100 64651151510 71116266661 117547548200 129302303020 142232533322 161627878775 258604606040 284465066644 323255757550 355581333305 568930133288 646511515100 711162666610 1293023030200 1422325333220 1777906666525 2844650666440 3555813333050 7111626666100 14223253332200