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230065416 = 233272831613
BaseRepresentation
bin11011011011010…
…00010100001000
3121000220112102100
431231220110020
5432344043131
634455033400
75462344440
oct1555502410
9530815370
10230065416
11108958609
126506b860
1338882ca9
14227ab120
15152e77e6
hexdb68508

230065416 has 96 divisors (see below), whose sum is σ = 715066560. Its totient is φ = 65460096.

The previous prime is 230065399. The next prime is 230065441. The reversal of 230065416 is 614560032.

230065416 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 654 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230065416.

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, 141826 + ... + 143438.

It is an arithmetic number, because the mean of its divisors is an integer number (7448610).

Almost surely, 2230065416 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 230065416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357533280).

230065416 is an abundant number, since it is smaller than the sum of its proper divisors (485001144).

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

230065416 is a wasteful number, since it uses less digits than its factorization.

230065416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230065416 is about 15167.9074364264. The cubic root of 230065416 is about 612.7506488240.

The spelling of 230065416 in words is "two hundred thirty million, sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 849 1132 1613 1698 1981 2264 2547 3226 3396 3962 4839 5094 5943 6452 6792 7924 9678 10188 11291 11886 12904 14517 15848 17829 19356 20376 22582 23772 29034 33873 35658 38712 45164 47544 58068 67746 71316 90328 101619 116136 135492 142632 203238 270984 406476 456479 812952 912958 1369437 1825916 2738874 3195353 3651832 4108311 5477748 6390706 8216622 9586059 10955496 12781412 16433244 19172118 25562824 28758177 32866488 38344236 57516354 76688472 115032708 230065416