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230212561135164 = 223171736523080617
BaseRepresentation
bin110100010110000010001001…
…111011011110011000111100
31010012010002212012121021122020
4310112002021323132120330
5220133300311122311124
62133342105055320140
766330210605604246
oct6426021173363074
91105102765537566
10230212561135164
116739766514a343
12219a08a0b20050
139b5bc4a1c074a
1440bc4c141b096
151b93554e50379
hexd16089ede63c

230212561135164 has 48 divisors (see below), whose sum is σ = 572048077876128. Its totient is φ = 71806071420928.

The previous prime is 230212561135103. The next prime is 230212561135211. The reversal of 230212561135164 is 461531165212032.

230212561135164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261505017 + ... + 3261575600.

It is an arithmetic number, because the mean of its divisors is an integer number (11917668289086).

Almost surely, 2230212561135164 is an apocalyptic number.

It is an amenable number.

230212561135164 is an abundant number, since it is smaller than the sum of its proper divisors (341835516740964).

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

230212561135164 is a wasteful number, since it uses less digits than its factorization.

230212561135164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523080814 (or 6523080812 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 230212561135164 in words is "two hundred thirty trillion, two hundred twelve billion, five hundred sixty-one million, one hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 2076 2941 5882 8823 11764 17646 35292 6523080617 13046161234 19569241851 26092322468 39138483702 78276967404 110892370489 221784740978 332677111467 443569481956 665354222934 1128492946741 1330708445868 2256985893482 3385478840223 4513971786964 6770957680446 13541915360892 19184380094597 38368760189194 57553140283791 76737520378388 115106280567582 230212561135164