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230213312 = 2673891321
BaseRepresentation
bin11011011100011…
…00011011000000
3121001012001021222
431232030123000
5432413311222
634502134212
75463531560
oct1556143300
9531161258
10230213312
11108a4973a
1265121368
13389053c4
1422808da0
1515326542
hexdb8c6c0

230213312 has 56 divisors (see below), whose sum is σ = 523829280. Its totient is φ = 98334720.

The previous prime is 230213309. The next prime is 230213327. The reversal of 230213312 is 213312032.

230213312 is digitally balanced in base 3, 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 (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173612 + ... + 174932.

Almost surely, 2230213312 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 230213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261914640).

230213312 is an abundant number, since it is smaller than the sum of its proper divisors (293615968).

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

230213312 is a wasteful number, since it uses less digits than its factorization.

230213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 230213312 is about 15172.7819466306. The cubic root of 230213312 is about 612.8819215718.

Adding to 230213312 its reverse (213312032), we get a palindrome (443525344).

The spelling of 230213312 in words is "two hundred thirty million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 389 448 778 1321 1556 2642 2723 3112 5284 5446 6224 9247 10568 10892 12448 18494 21136 21784 24896 36988 42272 43568 73976 84544 87136 147952 174272 295904 513869 591808 1027738 2055476 3597083 4110952 7194166 8221904 14388332 16443808 28776664 32887616 57553328 115106656 230213312