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220201212222220 = 2251719156059218423
BaseRepresentation
bin110010000100010110010111…
…000010001001101100001100
31001212200000211002101111222211
4302010112113002021230030
5212330234040312102340
62100155012415520204
764245004213115125
oct6204262702115414
91055600732344884
10220201212222220
116418789a736029
1220844578529064
1395b3b67a75428
143c53b1cd5504c
151a6ce139eb5ea
hexc84597089b0c

220201212222220 has 96 divisors (see below), whose sum is σ = 515399211532800. Its totient is φ = 78535297096704.

The previous prime is 220201212222217. The next prime is 220201212222221. The reversal of 220201212222220 is 22222212102022.

It is a junction number, because it is equal to n+sod(n) for n = 220201212222191 and 220201212222200.

It is not an unprimeable number, because it can be changed into a prime (220201212222221) 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 31 ways as a sum of consecutive naturals, for example, 1008031929 + ... + 1008250351.

It is an arithmetic number, because the mean of its divisors is an integer number (5368741786800).

Almost surely, 2220201212222220 is an apocalyptic number.

220201212222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201212222220 is an abundant number, since it is smaller than the sum of its proper divisors (295197999310580).

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

220201212222220 is a wasteful number, since it uses less digits than its factorization.

220201212222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374527 (or 374525 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 220201212222220 its reverse (22222212102022), we get a palindrome (242423424324242).

The spelling of 220201212222220 in words is "two hundred twenty trillion, two hundred one billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 156059 218423 312118 436846 624236 780295 873692 1092115 1560590 2184230 2653003 2965121 3121180 3713191 4150037 4368460 5306006 5930242 7426382 8300074 10612012 11860484 13265015 14825605 14852764 16600148 18565955 20750185 26530030 29651210 37131910 41500370 50407057 53060060 59302420 70550629 74263820 83000740 100814114 141101258 201628228 252035285 282202516 352753145 504070570 705506290 1008141140 1411012580 34086874957 68173749914 136347499828 170434374785 340868749570 579476874269 647650624183 681737499140 1158953748538 1295301248366 2317907497076 2590602496732 2897384371345 3238253120915 5794768742690 6476506241830 11010060611111 11589537485380 12953012483660 22020121222222 44040242444444 55050303055555 110100606111110 220201212222220