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230230133322 = 237192109139309
BaseRepresentation
bin1101011001101011001…
…0010000101001001010
3211000021010121120102220
43112122302100221022
512233002403231242
6253433302434510
722430213562330
oct3263262205112
9730233546386
10230230133322
11897049a9862
1238753732a36
131893128c127
14b200d13b50
155ec73aabec
hex359ac90a4a

230230133322 has 96 divisors (see below), whose sum is σ = 560494281600. Its totient is φ = 61745763456.

The previous prime is 230230133311. The next prime is 230230133327. The reversal of 230230133322 is 223331032032.

It is a junction number, because it is equal to n+sod(n) for n = 230230133292 and 230230133301.

It is not an unprimeable number, because it can be changed into a prime (230230133327) 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, 1583004 + ... + 1722312.

It is an arithmetic number, because the mean of its divisors is an integer number (5838482100).

Almost surely, 2230230133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230230133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280247140800).

230230133322 is an abundant number, since it is smaller than the sum of its proper divisors (330264148278).

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

230230133322 is a wasteful number, since it uses less digits than its factorization.

230230133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139468 (or 139449 counting only the distinct ones).

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

Adding to 230230133322 its reverse (223331032032), we get a palindrome (453561165354).

The spelling of 230230133322 in words is "two hundred thirty billion, two hundred thirty million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 109 114 133 218 266 327 361 399 654 722 763 798 1083 1526 2071 2166 2289 2527 4142 4578 5054 6213 7581 12426 14497 15162 28994 39349 43491 78698 86982 118047 139309 236094 275443 278618 417927 550886 826329 835854 975163 1652658 1950326 2646871 2925489 5293742 5850978 7940613 15184681 15881226 18528097 30369362 37056194 45554043 50290549 55584291 91108086 100581098 106292767 111168582 150871647 212585534 288508939 301743294 318878301 352033843 577017878 637756602 704067686 865526817 1056101529 1731053634 2019562573 2112203058 4039125146 5481669841 6058687719 10963339682 12117375438 16445009523 32890019046 38371688887 76743377774 115115066661 230230133322