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230332014 = 2321117411669
BaseRepresentation
bin11011011101010…
…01011001101110
3121001102002010100
431232221121232
5432431111024
634504451530
75464534623
oct1556513156
9531362110
10230332014
1110901a940
1265179ba6
1338947443
142283a34a
151534b7c9
hexdba966e

230332014 has 96 divisors (see below), whose sum is σ = 590859360. Its totient is φ = 64051200.

The previous prime is 230332001. The next prime is 230332019. The reversal of 230332014 is 410233032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230332019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137172 + ... + 138840.

It is an arithmetic number, because the mean of its divisors is an integer number (6154785).

Almost surely, 2230332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295429680).

230332014 is an abundant number, since it is smaller than the sum of its proper divisors (360527346).

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

230332014 is a wasteful number, since it uses less digits than its factorization.

230332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230332014 is about 15176.6931180676. The cubic root of 230332014 is about 612.9872410094.

Adding to 230332014 its reverse (410233032), we get a palindrome (640565046).

The spelling of 230332014 in words is "two hundred thirty million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 123 153 187 198 246 306 369 374 451 561 697 738 902 1122 1353 1394 1669 1683 2091 2706 3338 3366 4059 4182 5007 6273 7667 8118 10014 12546 15021 15334 18359 23001 28373 30042 36718 46002 55077 56746 68429 69003 85119 110154 136858 138006 165231 170238 205287 255357 312103 330462 410574 510714 615861 624206 752719 936309 1163293 1231722 1505438 1872618 2258157 2326586 2808927 3489879 4516314 5617854 6774471 6979758 10469637 12796223 13548942 20939274 25592446 38388669 76777338 115166007 230332014