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230413312 = 210832711
BaseRepresentation
bin11011011101111…
…01010000000000
3121001120012122101
431232331100000
5432441211222
634510320144
75465323633
oct1556752000
9531505571
10230413312
11109075a28
12651b9054
133897544c
142285bc1a
1515365927
hexdbbd400

230413312 has 44 divisors (see below), whose sum is σ = 466322976. Its totient is φ = 113776640.

The previous prime is 230413301. The next prime is 230413321. The reversal of 230413312 is 213314032.

It is a self number, because there is not a number n which added to its sum of digits gives 230413312.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 83637 + ... + 86347.

Almost surely, 2230413312 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 230413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233161488).

230413312 is an abundant number, since it is smaller than the sum of its proper divisors (235909664).

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

230413312 is an equidigital number, since it uses as much as digits as its factorization.

230413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 230413312 is about 15179.3712649767. The cubic root of 230413312 is about 613.0593525291.

Adding to 230413312 its reverse (213314032), we get a palindrome (443727344).

The spelling of 230413312 in words is "two hundred thirty million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2656 2711 5312 5422 10624 10844 21248 21688 42496 43376 84992 86752 173504 225013 347008 450026 694016 900052 1388032 1800104 2776064 3600208 7200416 14400832 28801664 57603328 115206656 230413312