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229295093006 = 2728316321061
BaseRepresentation
bin1101010110001100001…
…1010111010100001110
3210220211222011121021002
43111203003113110032
512224044020434011
6253200421340302
722365101063300
oct3254303272416
9726758147232
10229295093006
1189275114171
1238532567692
1318812647535
14b152a75970
155e7025bc3b
hex35630d750e

229295093006 has 72 divisors (see below), whose sum is σ = 407800366344. Its totient is φ = 96398799840.

The previous prime is 229295092981. The next prime is 229295093023. The reversal of 229295093006 is 600390592922.

229295093006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 216111716 + ... + 216112776.

It is an arithmetic number, because the mean of its divisors is an integer number (5663893977).

Almost surely, 2229295093006 is an apocalyptic number.

229295093006 is a deficient number, since it is larger than the sum of its proper divisors (178505273338).

229295093006 is a wasteful number, since it uses less digits than its factorization.

229295093006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 47.

The spelling of 229295093006 in words is "two hundred twenty-nine billion, two hundred ninety-five million, ninety-three thousand, six".

Divisors: 1 2 7 14 49 83 98 163 166 326 581 1061 1141 1162 2122 2282 4067 7427 7987 8134 13529 14854 15974 26569 27058 51989 53138 88063 94703 103978 172943 176126 185983 189406 345886 371966 616441 662921 1210601 1232882 1301881 1325842 2205227 2421202 2603762 4315087 4410454 8474207 8630174 14354269 15436589 16948414 28189709 28708538 30873178 56379418 100479883 108056123 197327963 200959766 216112246 394655926 703359181 1381295741 1406718362 2339745847 2762591482 4679491694 16378220929 32756441858 114647546503 229295093006