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220212202100220 = 2232511111218283889
BaseRepresentation
bin110010000100100000100110…
…000101001101010111111100
31001212201002011222210011110100
4302010200212011031113330
5212330424042214201340
62100204031123041100
764245543440412561
oct6204404605152774
91055632158704410
10220212202100220
116419151a190030
1220846724b10190
1395b4bc9867815
143c5448274c868
151a6d35873b830
hexc8482614d5fc

220212202100220 has 72 divisors (see below), whose sum is σ = 728702196047280. Its totient is φ = 53384776266240.

The previous prime is 220212202100201. The next prime is 220212202100239. The reversal of 220212202100220 is 22001202212022.

220212202100220 is a `hidden beast` number, since 2 + 2 + 0 + 212 + 20 + 210 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (220212202100201) and next prime (220212202100239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212202100193 and 220212202100202.

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, 55609139965 + ... + 55609143924.

It is an arithmetic number, because the mean of its divisors is an integer number (10120863833990).

Almost surely, 2220212202100220 is an apocalyptic number.

220212202100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212202100220 is an abundant number, since it is smaller than the sum of its proper divisors (508489993947060).

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

220212202100220 is a wasteful number, since it uses less digits than its factorization.

220212202100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111218283915 (or 111218283910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212202100220 its reverse (22001202212022), we get a palindrome (242213404312242).

The spelling of 220212202100220 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 111218283889 222436567778 333654851667 444873135556 556091419445 667309703334 1000964555001 1112182838890 1223401122779 1334619406668 1668274258335 2001929110002 2224365677780 2446802245558 3336548516670 3670203368337 4003858220004 4893604491116 5004822775005 6117005613895 6673097033340 7340406736674 10009645550010 11010610105011 12234011227790 14680813473348 18351016841685 20019291100020 22021220210022 24468022455580 36702033683370 44042440420044 55053050525055 73404067366740 110106101050110 220212202100220