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230323296 = 25372331471
BaseRepresentation
bin11011011101001…
…11010001100000
3121001101122011110
431232213101200
5432430321141
634504343320
75464500330
oct1556472140
9531348143
10230323296
11109014335
1265174b40
1338943498
14228370c0
1515348e16
hexdba7460

230323296 has 96 divisors (see below), whose sum is σ = 694407168. Its totient is φ = 65479680.

The previous prime is 230323237. The next prime is 230323297. The reversal of 230323296 is 692323032.

230323296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230323297) 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, 155841 + ... + 157311.

It is an arithmetic number, because the mean of its divisors is an integer number (7233408).

Almost surely, 2230323296 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 230323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584).

230323296 is an abundant number, since it is smaller than the sum of its proper divisors (464083872).

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

230323296 is a wasteful number, since it uses less digits than its factorization.

230323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 230323296 is about 15176.4058986309. The cubic root of 230323296 is about 612.9795071154.

The spelling of 230323296 in words is "two hundred thirty million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 233 336 466 672 699 932 1398 1471 1631 1864 2796 2942 3262 3728 4413 4893 5592 5884 6524 7456 8826 9786 10297 11184 11768 13048 17652 19572 20594 22368 23536 26096 30891 35304 39144 41188 47072 52192 61782 70608 78288 82376 123564 141216 156576 164752 247128 329504 342743 494256 685486 988512 1028229 1370972 2056458 2399201 2741944 4112916 4798402 5483888 7197603 8225832 9596804 10967776 14395206 16451664 19193608 28790412 32903328 38387216 57580824 76774432 115161648 230323296