Search a number
-
+
204302002303200 = 25352434919573657
BaseRepresentation
bin101110011100111111000100…
…010001100011000011100000
3222210101002011210221022212110
4232130333010101203003200
5203234241000042200300
62002303013312555320
761014222033460044
oct5634770421430340
9883332153838773
10204302002303200
115a107aa118124a
121aab711b252b40
1389cc7999889b9
1438643abda0024
15189456d3c3550
hexb9cfc44630e0

204302002303200 has 144 divisors (see below), whose sum is σ = 665155960887600. Its totient is φ = 54468004024320.

The previous prime is 204302002303177. The next prime is 204302002303237. The reversal of 204302002303200 is 2303200203402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650772 + ... + 20224428.

It is an arithmetic number, because the mean of its divisors is an integer number (4619138617275).

Almost surely, 2204302002303200 is an apocalyptic number.

204302002303200 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 204302002303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332577980443800).

204302002303200 is an abundant number, since it is smaller than the sum of its proper divisors (460853958584400).

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

204302002303200 is a wasteful number, since it uses less digits than its factorization.

204302002303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19578029 (or 19578016 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 204302002303200 its reverse (2303200203402), we get a palindrome (206605202506602).

The spelling of 204302002303200 in words is "two hundred four trillion, three hundred two billion, two million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4349 8698 13047 17396 21745 26094 34792 43490 52188 65235 69584 86980 104376 108725 130470 139168 173960 208752 217450 260940 326175 347920 417504 434900 521880 652350 695840 869800 1043760 1304700 1739600 2087520 2609400 3479200 5218800 10437600 19573657 39147314 58720971 78294628 97868285 117441942 156589256 195736570 234883884 293604855 313178512 391473140 469767768 489341425 587209710 626357024 782946280 939535536 978682850 1174419420 1468024275 1565892560 1879071072 1957365700 2348838840 2936048550 3131785120 3914731400 4697677680 5872097100 7829462800 9395355360 11744194200 15658925600 23488388400 46976776800 85125834293 170251668586 255377502879 340503337172 425629171465 510755005758 681006674344 851258342930 1021510011516 1276887514395 1362013348688 1702516685860 2043020023032 2128145857325 2553775028790 2724026697376 3405033371720 4086040046064 4256291714650 5107550057580 6384437571975 6810066743440 8172080092128 8512583429300 10215100115160 12768875143950 13620133486880 17025166858600 20430200230320 25537750287900 34050333717200 40860400460640 51075500575800 68100667434400 102151001151600 204302002303200