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230333223344 = 24722914236311
BaseRepresentation
bin1101011010000011101…
…1100001000110110000
3211000112022121002100212
43112200323201012300
512233210301121334
6253451424203252
722432605044330
oct3264073410660
9730468532325
10230333223344
1189758110924
1238782169528
1318949745243
14b2108ab0c0
155ed1470ece
hex35a0ee11b0

230333223344 has 80 divisors (see below), whose sum is σ = 512691947520. Its totient is φ = 98198542080.

The previous prime is 230333223331. The next prime is 230333223359. The reversal of 230333223344 is 443322333032.

230333223344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230333223344.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36493949 + ... + 36500259.

It is an arithmetic number, because the mean of its divisors is an integer number (6408649344).

Almost surely, 2230333223344 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 230333223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256345973760).

230333223344 is an abundant number, since it is smaller than the sum of its proper divisors (282358724176).

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

230333223344 is a wasteful number, since it uses less digits than its factorization.

230333223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

Adding to 230333223344 its reverse (443322333032), we get a palindrome (673655556376).

The spelling of 230333223344 in words is "two hundred thirty billion, three hundred thirty-three million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 229 458 916 1423 1603 1832 2846 3206 3664 5692 6311 6412 9961 11384 12622 12824 19922 22768 25244 25648 39844 44177 50488 79688 88354 100976 159376 176708 325867 353416 651734 706832 1303468 1445219 2281069 2606936 2890438 4562138 5213872 5780876 8980553 9124276 10116533 11561752 17961106 18248552 20233066 23123504 35922212 36497104 40466132 62863871 71844424 80932264 125727742 143688848 161864528 251455484 502910968 1005821936 2056546637 4113093274 8226186548 14395826459 16452373096 28791652918 32904746192 57583305836 115166611672 230333223344