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202230203120 = 245112971111611
BaseRepresentation
bin1011110001010111011…
…1000000001011110000
3201022222202210202000222
42330111313000023300
511303131412444440
6232523035032212
720416311235631
oct2742567001360
9638882722028
10202230203120
117884674a880
123323a59b668
13160bb3970aa
149b06381888
1553d915a2b5
hex2f15dc02f0

202230203120 has 160 divisors (see below), whose sum is σ = 538094845440. Its totient is φ = 70001792000.

The previous prime is 202230203107. The next prime is 202230203141. The reversal of 202230203120 is 21302032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756115 + ... + 1867725.

It is an arithmetic number, because the mean of its divisors is an integer number (3363092784).

Almost surely, 2202230203120 is an apocalyptic number.

202230203120 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 202230203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269047422720).

202230203120 is an abundant number, since it is smaller than the sum of its proper divisors (335864642320).

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

202230203120 is a wasteful number, since it uses less digits than its factorization.

202230203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111735 (or 111729 counting only the distinct ones).

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

Adding to 202230203120 its reverse (21302032202), we get a palindrome (223532235322).

The spelling of 202230203120 in words is "two hundred two billion, two hundred thirty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 71 80 88 110 116 142 145 176 220 232 284 290 319 355 440 464 568 580 638 710 781 880 1136 1160 1276 1420 1562 1595 2059 2320 2552 2840 3124 3190 3905 4118 5104 5680 6248 6380 7810 8236 10295 12496 12760 15620 16472 20590 22649 25520 31240 32944 41180 45298 62480 82360 90596 111611 113245 164720 181192 223222 226490 362384 446444 452980 558055 892888 905960 1116110 1227721 1785776 1811920 2232220 2455442 3236719 4464440 4910884 6138605 6473438 7924381 8928880 9821768 12277210 12946876 15848762 16183595 19643536 24554420 25893752 31697524 32367190 35603909 39621905 49108840 51787504 63395048 64734380 71207818 79243810 87168191 98217680 126790096 129468760 142415636 158487620 174336382 178019545 229807049 258937520 284831272 316975240 348672764 356039090 435840955 459614098 569662544 633950480 697345528 712078180 871681910 919228196 1149035245 1394691056 1424156360 1743363820 1838456392 2298070490 2527877539 2848312720 3486727640 3676912784 4596140980 5055755078 6973455280 9192281960 10111510156 12639387695 18384563920 20223020312 25278775390 40446040624 50557550780 101115101560 202230203120