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230046445224036 = 22327174311021122029
BaseRepresentation
bin110100010011100111011100…
…101001100100000001100100
31010011112020002022012122210100
4310103213130221210001210
5220123040104434132121
62133133513351024100
766312210236631330
oct6423473451440144
91104466068178710
10230046445224036
1167333171037681
122197466106b030
139b49395b632cc
1440b44435647c0
151b8e0815d1026
hexd139dca64064

230046445224036 has 288 divisors, whose sum is σ = 706000710804480. Its totient is φ = 61656745881600.

The previous prime is 230046445224007. The next prime is 230046445224059. The reversal of 230046445224036 is 630422544640032.

230046445224036 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 46 + 44 + 522 + 40 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230046445223982 and 230046445224000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1885117470 + ... + 1885239498.

It is an arithmetic number, because the mean of its divisors is an integer number (2451391356960).

Almost surely, 2230046445224036 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 230046445224036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353000355402240).

230046445224036 is an abundant number, since it is smaller than the sum of its proper divisors (475954265580444).

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

230046445224036 is a wasteful number, since it uses less digits than its factorization.

230046445224036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123515 (or 123510 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 230046445224036 its reverse (630422544640032), we get a palindrome (860468989864068).

The spelling of 230046445224036 in words is "two hundred thirty trillion, forty-six billion, four hundred forty-five million, two hundred twenty-four thousand, thirty-six".