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201210223212 = 2232191674873617
BaseRepresentation
bin1011101101100100010…
…0000101101001101100
3201020100200112101122100
42323121010011221230
511244034304120322
6232233521215100
720352114451365
oct2733104055154
9636320471570
10201210223212
1178372a1a879
1232bb4a91490
1315c87c8299b
149a4ab12b6c
15537982ddac
hex2ed9105a6c

201210223212 has 144 divisors (see below), whose sum is σ = 539844963840. Its totient is φ = 63012473856.

The previous prime is 201210223199. The next prime is 201210223223. The reversal of 201210223212 is 212322012102.

201210223212 is a `hidden beast` number, since 20 + 1 + 210 + 223 + 212 = 666.

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

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, 55627228 + ... + 55630844.

It is an arithmetic number, because the mean of its divisors is an integer number (3748923360).

Almost surely, 2201210223212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269922481920).

201210223212 is an abundant number, since it is smaller than the sum of its proper divisors (338634740628).

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

201210223212 is a wasteful number, since it uses less digits than its factorization.

201210223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201210223212 its reverse (212322012102), we get a palindrome (413532235314).

The spelling of 201210223212 in words is "two hundred one billion, two hundred ten million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 167 171 228 334 342 487 501 668 684 974 1002 1461 1503 1948 2004 2922 3006 3173 3617 4383 5844 6012 6346 7234 8766 9253 9519 10851 12692 14468 17532 18506 19038 21702 27759 28557 32553 37012 38076 43404 55518 57114 65106 68723 81329 83277 111036 114228 130212 137446 162658 166554 206169 243987 274892 325316 333108 412338 487974 604039 618507 731961 824676 975948 1208078 1237014 1463922 1545251 1761479 1812117 2416156 2474028 2927844 3090502 3522958 3624234 4635753 5284437 5436351 6181004 7045916 7248468 9271506 10568874 10872702 11476741 13907259 15853311 18543012 21137748 21745404 22953482 27814518 31706622 33468101 34430223 45906964 55629036 63413244 66936202 68860446 100404303 103290669 133872404 137720892 200808606 206581338 294166993 301212909 401617212 413162676 588333986 602425818 882500979 1176667972 1204851636 1765001958 2647502937 3530003916 5295005874 5589172867 10590011748 11178345734 16767518601 22356691468 33535037202 50302555803 67070074404 100605111606 201210223212