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230882064 = 2437739413
BaseRepresentation
bin11011100001011…
…11101100010000
3121002110000122120
431300233230100
5433101211224
634524334240
75502315360
oct1560575420
9532400576
10230882064
11109366126
12653a4380
1338aaa90a
14229409a0
1515409779
hexdc2fb10

230882064 has 80 divisors (see below), whose sum is σ = 691062912. Its totient is φ = 65055744.

The previous prime is 230882059. The next prime is 230882077. The reversal of 230882064 is 460288032.

230882064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19822 + ... + 29234.

Almost surely, 2230882064 is an apocalyptic number.

230882064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345531456).

230882064 is an abundant number, since it is smaller than the sum of its proper divisors (460180848).

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

230882064 is a wasteful number, since it uses less digits than its factorization.

230882064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 230882064 is about 15194.8038486846. The cubic root of 230882064 is about 613.4748061594.

It can be divided in two parts, 23088 and 2064, that added together give a palindrome (25152).

The spelling of 230882064 in words is "two hundred thirty million, eight hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 9413 12264 18826 24528 28239 37652 56478 65891 75304 112956 131782 150608 197673 225912 263564 395346 451824 527128 687149 790692 1054256 1374298 1581384 2061447 2748596 3162768 4122894 4810043 5497192 8245788 9620086 10994384 14430129 16491576 19240172 28860258 32983152 38480344 57720516 76960688 115441032 230882064