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23004033324 = 22319283137467
BaseRepresentation
bin10101011011001001…
…011011000100101100
32012101012010222021020
4111123021123010230
5334103013031244
614322400134140
71443030025356
oct253311330454
965335128236
1023004033324
1198351a4798
124560007350
132227b71c4c
14118325c0d6
158e9859d19
hex55b25b12c

23004033324 has 144 divisors (see below), whose sum is σ = 57874497408. Its totient is φ = 7109266176.

The previous prime is 23004033253. The next prime is 23004033329. The reversal of 23004033324 is 42333040032.

It is a junction number, because it is equal to n+sod(n) for n = 23004033294 and 23004033303.

It is not an unprimeable number, because it can be changed into a prime (23004033329) 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, 49258939 + ... + 49259405.

It is an arithmetic number, because the mean of its divisors is an integer number (401906232).

Almost surely, 223004033324 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 23004033324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28937248704).

23004033324 is an abundant number, since it is smaller than the sum of its proper divisors (34870464084).

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

23004033324 is a wasteful number, since it uses less digits than its factorization.

23004033324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23004033324 its reverse (42333040032), we get a palindrome (65337073356).

The spelling of 23004033324 in words is "twenty-three billion, four million, thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 137 166 228 249 274 332 361 411 467 498 548 722 822 934 996 1083 1401 1444 1577 1644 1868 2166 2603 2802 3154 4332 4731 5206 5604 6308 7809 8873 9462 10412 11371 15618 17746 18924 22742 26619 29963 31236 34113 35492 38761 45484 49457 53238 59926 63979 68226 77522 89889 98914 106476 116283 119852 127958 136452 148371 155044 168587 179778 191937 197828 216049 232566 255916 296742 337174 359556 383874 432098 465132 505761 593484 648147 674348 736459 767748 864196 1011522 1215601 1296294 1472918 2023044 2209377 2431202 2592588 2945836 3646803 4104931 4418754 4862404 5310257 7293606 8209862 8837508 10620514 12314793 13992721 14587212 15930771 16419724 21241028 23096419 24629586 27985442 31861542 41978163 46192838 49259172 55970884 63723084 69289257 83956326 92385676 100894883 138578514 167912652 201789766 277157028 302684649 403579532 605369298 1210738596 1917002777 3834005554 5751008331 7668011108 11502016662 23004033324