Search a number
-
+
321133230 = 2325111719081
BaseRepresentation
bin10011001001000…
…001101010101110
3211101021020222100
4103021001222232
51124202230410
651510555530
710646405325
oct2311015256
9741236870
10321133230
111552a9170
128b668ba6
13516b9c82
14309150bc
151d2d58c0
hex13241aae

321133230 has 96 divisors (see below), whose sum is σ = 964480608. Its totient is φ = 73267200.

The previous prime is 321133217. The next prime is 321133289. The reversal of 321133230 is 32331123.

321133230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 7290 + ... + 26370.

It is an arithmetic number, because the mean of its divisors is an integer number (10046673).

Almost surely, 2321133230 is an apocalyptic number.

321133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482240304).

321133230 is an abundant number, since it is smaller than the sum of its proper divisors (643347378).

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

321133230 is a wasteful number, since it uses less digits than its factorization.

321133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19122 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 321133230 is about 17920.1905681831. The cubic root of 321133230 is about 684.7968424476.

Adding to 321133230 its reverse (32331123), we get a palindrome (353464353).

The spelling of 321133230 in words is "three hundred twenty-one million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 19081 38162 57243 95405 114486 171729 190810 209891 286215 324377 343458 419782 572430 629673 648754 858645 973131 1049455 1259346 1621885 1717290 1889019 1946262 2098910 2919393 3148365 3243770 3568147 3778038 4865655 5838786 6296730 7136294 9445095 9731310 10704441 14596965 17840735 18890190 21408882 29193930 32113323 35681470 53522205 64226646 107044410 160566615 321133230