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230766704 = 24717196379
BaseRepresentation
bin11011100000100…
…11100001110000
3121002020011101222
431300103201300
5433034013304
634522044212
75501325140
oct1560234160
9532204358
10230766704
11109297493
1265349668
1338a6a25c
1422910920
15153d54be
hexdc13870

230766704 has 80 divisors (see below), whose sum is σ = 569606400. Its totient is φ = 88169472.

The previous prime is 230766703. The next prime is 230766713. The reversal of 230766704 is 407667032.

230766704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230766703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32987 + ... + 39365.

It is an arithmetic number, because the mean of its divisors is an integer number (7120080).

Almost surely, 2230766704 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 230766704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284803200).

230766704 is an abundant number, since it is smaller than the sum of its proper divisors (338839696).

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

230766704 is a wasteful number, since it uses less digits than its factorization.

230766704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 230766704 is about 15191.0073398705. The cubic root of 230766704 is about 613.3726151064.

The spelling of 230766704 in words is "two hundred thirty million, seven hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 6379 9044 12758 18088 25516 36176 44653 51032 89306 102064 108443 121201 178612 216886 242402 357224 433772 484804 714448 759101 848407 867544 969608 1518202 1696814 1735088 1939216 2060417 3036404 3393628 4120834 6072808 6787256 8241668 12145616 13574512 14422919 16483336 28845838 32966672 57691676 115383352 230766704