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20334515200 = 210525913463
BaseRepresentation
bin10010111100000010…
…000001010000000000
31221111010222101211121
4102330002001100000
5313121113441300
613201435122024
71316623345606
oct227402012000
957433871747
1020334515200
11869533826a
123b35ba3314
131bc0a9b91c
14dac8c1876
157e02e681a
hex4bc081400

20334515200 has 132 divisors (see below), whose sum is σ = 51263102880. Its totient is φ = 7995351040.

The previous prime is 20334515189. The next prime is 20334515203. The reversal of 20334515200 is 251543302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20334515203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503669 + ... + 1517131.

It is an arithmetic number, because the mean of its divisors is an integer number (388356840).

Almost surely, 220334515200 is an apocalyptic number.

20334515200 is a gapful number since it is divisible by the number (20) 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 20334515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631551440).

20334515200 is an abundant number, since it is smaller than the sum of its proper divisors (30928587680).

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

20334515200 is a wasteful number, since it uses less digits than its factorization.

20334515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13552 (or 13529 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 20334515200 in words is "twenty billion, three hundred thirty-four million, five hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 256 295 320 400 472 512 590 640 800 944 1024 1180 1280 1475 1600 1888 2360 2560 2950 3200 3776 4720 5120 5900 6400 7552 9440 11800 12800 13463 15104 18880 23600 25600 26926 30208 37760 47200 53852 60416 67315 75520 94400 107704 134630 151040 188800 215408 269260 302080 336575 377600 430816 538520 673150 755200 794317 861632 1077040 1346300 1510400 1588634 1723264 2154080 2692600 3177268 3446528 3971585 4308160 5385200 6354536 6893056 7943170 8616320 10770400 12709072 13786112 15886340 17232640 19857925 21540800 25418144 31772680 34465280 39715850 43081600 50836288 63545360 68930560 79431700 86163200 101672576 127090720 158863400 172326400 203345152 254181440 317726800 344652800 406690304 508362880 635453600 813380608 1016725760 1270907200 2033451520 2541814400 4066903040 5083628800 10167257600 20334515200