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14020233200 = 2452173316229
BaseRepresentation
bin11010000111010101…
…11100011111110000
31100012002112122022022
431003222330133300
5212203134430300
610235114131012
71004302005311
oct150352743760
940162478268
1014020233200
115a45068796
122873420a68
13142587449c
14970062608
15570ccd285
hex343abc7f0

14020233200 has 120 divisors (see below), whose sum is σ = 35778491280. Its totient is φ = 5261414400.

The previous prime is 14020233191. The next prime is 14020233203. The reversal of 14020233200 is 233202041.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020233203) 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 23 ways as a sum of consecutive naturals, for example, 2247686 + ... + 2253914.

It is an arithmetic number, because the mean of its divisors is an integer number (298154094).

Almost surely, 214020233200 is an apocalyptic number.

14020233200 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 14020233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889245640).

14020233200 is an abundant number, since it is smaller than the sum of its proper divisors (21758258080).

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

14020233200 is a wasteful number, since it uses less digits than its factorization.

14020233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 14020233200 its reverse (233202041), we get a palindrome (14253435241).

The spelling of 14020233200 in words is "fourteen billion, twenty million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 331 340 400 425 662 680 850 1324 1360 1655 1700 2648 3310 3400 5296 5627 6229 6620 6800 8275 11254 12458 13240 16550 22508 24916 26480 28135 31145 33100 45016 49832 56270 62290 66200 90032 99664 105893 112540 124580 132400 140675 155725 211786 225080 249160 281350 311450 423572 450160 498320 529465 562700 622900 847144 1058930 1125400 1245800 1694288 2061799 2117860 2250800 2491600 2647325 4123598 4235720 5294650 8247196 8471440 10308995 10589300 16494392 20617990 21178600 32988784 35050583 41235980 42357200 51544975 70101166 82471960 103089950 140202332 164943920 175252915 206179900 280404664 350505830 412359800 560809328 701011660 824719600 876264575 1402023320 1752529150 2804046640 3505058300 7010116600 14020233200