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230302332 = 223313179649
BaseRepresentation
bin11011011101000…
…10001001111100
3121001100120102000
431232202021330
5432424133312
634504102300
75464352241
oct1556421174
9531316360
10230302332
11108aaa607
1265164990
1338936a90
142282d5c8
1515342adc
hexdba227c

230302332 has 96 divisors (see below), whose sum is σ = 680904000. Its totient is φ = 66686976.

The previous prime is 230302313. The next prime is 230302333. The reversal of 230302332 is 233203032.

230302332 is a `hidden beast` number, since 2 + 30 + 302 + 332 = 666.

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 (230302333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19044 + ... + 28692.

It is an arithmetic number, because the mean of its divisors is an integer number (7092750).

Almost surely, 2230302332 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 230302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340452000).

230302332 is an abundant number, since it is smaller than the sum of its proper divisors (450601668).

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

230302332 is a wasteful number, since it uses less digits than its factorization.

230302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230302332 is about 15175.7152055513. The cubic root of 230302332 is about 612.9609087763.

Adding to 230302332 its reverse (233203032), we get a palindrome (463505364).

The spelling of 230302332 in words is "two hundred thirty million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 9649 11934 19298 23868 28947 38596 57894 86841 115788 125437 164033 173682 250874 260523 328066 347364 376311 492099 501748 521046 656132 752622 984198 1042092 1128933 1476297 1505244 1968396 2132429 2257866 2952594 3386799 4264858 4428891 4515732 5905188 6397287 6773598 8529716 8857782 12794574 13547196 17715564 19191861 25589148 38383722 57575583 76767444 115151166 230302332