Search a number
-
+
23230332312 = 23311177876577
BaseRepresentation
bin10101101000101000…
…101011110110011000
32012221221222011010020
4111220220223312120
5340033431113222
614401042350440
71451445365235
oct255050536630
965857864106
1023230332312
119940a0a550
12460395b420
132262a06785
1411a532878c
1590e65b65c
hex568a2bd98

23230332312 has 128 divisors (see below), whose sum is σ = 67177693440. Its totient is φ = 6615982080.

The previous prime is 23230332299. The next prime is 23230332313. The reversal of 23230332312 is 21323303232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230332313) 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 31 ways as a sum of consecutive naturals, for example, 3528768 + ... + 3535344.

It is an arithmetic number, because the mean of its divisors is an integer number (524825730).

Almost surely, 223230332312 is an apocalyptic number.

23230332312 is a gapful number since it is divisible by the number (22) 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 23230332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33588846720).

23230332312 is an abundant number, since it is smaller than the sum of its proper divisors (43947361128).

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

23230332312 is a wasteful number, since it uses less digits than its factorization.

23230332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23230332312 its reverse (21323303232), we get a palindrome (44553635544).

The spelling of 23230332312 in words is "twenty-three billion, two hundred thirty million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 787 1122 1496 1574 2244 2361 3148 4488 4722 6296 6577 8657 9444 13154 13379 17314 18888 19731 25971 26308 26758 34628 39462 40137 51942 52616 53516 69256 72347 78924 80274 103884 107032 111809 144694 147169 157848 160548 207768 217041 223618 289388 294338 321096 335427 434082 441507 447236 578776 588676 670854 868164 883014 894472 1177352 1229899 1341708 1736328 1766028 2459798 2683416 3532056 3689697 4919596 5176099 7379394 9839192 10352198 14758788 15528297 20704396 29517576 31056594 41408792 56937089 62113188 87993683 113874178 124226376 170811267 175987366 227748356 263981049 341622534 351974732 455496712 527962098 683245068 703949464 967930513 1055924196 1366490136 1935861026 2111848392 2903791539 3871722052 5807583078 7743444104 11615166156 23230332312