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230117085 = 33511831867
BaseRepresentation
bin11011011011101…
…00111011011101
3121001000011022000
431231310323131
5432402221320
634500112513
75462651202
oct1555647335
9531004260
10230117085
11108993410
1265095739
13388a0673
14227c1ca9
1515307c90
hexdb74edd

230117085 has 64 divisors (see below), whose sum is σ = 451906560. Its totient is φ = 110168640.

The previous prime is 230117081. The next prime is 230117099. The reversal of 230117085 is 580711032.

It is not a de Polignac number, because 230117085 - 22 = 230117081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230117081) 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 63 ways as a sum of consecutive naturals, for example, 122322 + ... + 124188.

It is an arithmetic number, because the mean of its divisors is an integer number (7061040).

Almost surely, 2230117085 is an apocalyptic number.

It is an amenable number.

230117085 is a deficient number, since it is larger than the sum of its proper divisors (221789475).

230117085 is a wasteful number, since it uses less digits than its factorization.

230117085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 230117085 is about 15169.6105750939. The cubic root of 230117085 is about 612.7965167109.

The spelling of 230117085 in words is "two hundred thirty million, one hundred seventeen thousand, eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 83 99 135 165 249 297 415 495 747 913 1245 1485 1867 2241 2739 3735 4565 5601 8217 9335 11205 13695 16803 20537 24651 28005 41085 50409 61611 84015 102685 123255 154961 184833 252045 308055 464883 554499 774805 924165 1394649 1704571 2324415 2772495 4183947 5113713 6973245 8522855 15341139 20919735 25568565 46023417 76705695 230117085