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222022120102020 = 2235576526223401
BaseRepresentation
bin110010011110110110001101…
…100110011101100010000100
31002010010002220021211000200000
4302132312031212131202010
5213100102300221231040
62104111315351121300
764523366052531030
oct6236661546354204
91063102807730600
10222022120102020
116481a063769217
1220a9945a973230
1396b67997ba434
143cb7cdc4171c0
151aa0488d57130
hexc9ed8d99d884

222022120102020 has 144 divisors (see below), whose sum is σ = 798183226958208. Its totient is φ = 50747913158400.

The previous prime is 222022120101979. The next prime is 222022120102067. The reversal of 222022120102020 is 20201021220222.

222022120102020 is a `hidden beast` number, since 2 + 220 + 221 + 20 + 1 + 0 + 202 + 0 = 666.

222022120102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222022120101984 and 222022120102002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3263077681 + ... + 3263145720.

Almost surely, 2222022120102020 is an apocalyptic number.

222022120102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022120102020 is an abundant number, since it is smaller than the sum of its proper divisors (576161106856188).

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

222022120102020 is a wasteful number, since it uses less digits than its factorization.

222022120102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526223432 (or 6526223418 counting only the distinct ones).

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

Adding to 222022120102020 its reverse (20201021220222), we get a palindrome (242223141322242).

The spelling of 222022120102020 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 6526223401 13052446802 19578670203 26104893604 32631117005 39157340406 45683563807 58736010609 65262234010 78314680812 91367127614 97893351015 117472021218 130524468020 137050691421 176208031827 182734255228 195786702030 228417819035 234944042436 274101382842 293680053045 352416063654 391573404060 411152074263 456835638070 528624095481 548202765684 587360106090 685253457105 704832127308 822304148526 881040159135 913671276140 1057248190962 1174720212180 1233456222789 1370506914210 1585872286443 1644608297052 1762080318270 2055760371315 2114496381924 2466912445578 2643120477405 2741013828420 3171744572886 3524160636540 3700368668367 4111520742630 4933824891156 5286240954810 6167281113945 6343489145772 7400737336734 7929361432215 8223041485260 10572481909620 11101106005101 12334562227890 14801474673468 15858722864430 18501843341835 22202212010202 24669124455780 31717445728860 37003686683670 44404424020404 55505530025505 74007373367340 111011060051010 222022120102020