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221442413220300 = 223521967357725923
BaseRepresentation
bin110010010110011010010100…
…011000001101000111001100
31002001001200120112001012010010
4302112122110120031013030
5213011103030241022200
62102545123520513220
764433454301405116
oct6226322430150714
91061050515035103
10221442413220300
11646162222a8858
1220a0503417b810
139673c1219622c
143c97c2735a3b6
151a9035a855150
hexc9669460d1cc

221442413220300 has 144 divisors (see below), whose sum is σ = 675430255391360. Its totient is φ = 55860220200960.

The previous prime is 221442413220299. The next prime is 221442413220307. The reversal of 221442413220300 is 3022314244122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (221442413220307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25026862 + ... + 32699061.

Almost surely, 2221442413220300 is an apocalyptic number.

221442413220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442413220300 is an abundant number, since it is smaller than the sum of its proper divisors (453987842171060).

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

221442413220300 is a wasteful number, since it uses less digits than its factorization.

221442413220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57726632 (or 57726625 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 221442413220300 its reverse (3022314244122), we get a palindrome (224464727464422).

The spelling of 221442413220300 in words is "two hundred twenty-one trillion, four hundred forty-two billion, four hundred thirteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 673 950 1140 1346 1425 1900 2019 2692 2850 3365 4038 5700 6730 8076 10095 12787 13460 16825 20190 25574 33650 38361 40380 50475 51148 63935 67300 76722 100950 127870 153444 191805 201900 255740 319675 383610 639350 767220 959025 1278700 1918050 3836100 57725923 115451846 173177769 230903692 288629615 346355538 577259230 692711076 865888845 1096792537 1154518460 1443148075 1731777690 2193585074 2886296150 3290377611 3463555380 4329444225 4387170148 5483962685 5772592300 6580755222 8658888450 10967925370 13161510444 16451888055 17317776900 21935850740 27419813425 32903776110 38849546179 54839626850 65807552220 77699092358 82259440275 109679253700 116548638537 155398184716 164518880550 194247730895 233097277074 329037761100 388495461790 466194554148 582743192685 738141377401 776990923580 971238654475 1165486385370 1476282754802 1942477308950 2214424132203 2330972770740 2913715963425 2952565509604 3690706887005 3884954617900 4428848264406 5827431926850 7381413774010 8857696528812 11072120661015 11654863853700 14762827548020 18453534435025 22144241322030 36907068870050 44288482644060 55360603305075 73814137740100 110721206610150 221442413220300