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230445343544032 = 2523349989484163
BaseRepresentation
bin110100011001011010111100…
…110101111001001011100000
31010012221100201012202212221001
4310121122330311321023200
5220201104030421402112
62134041043534241344
766353061303461311
oct6431327465711340
91105840635685831
10230445343544032
1167477359807531
1221a19a27356254
139b77b97183096
1440c98852ac608
151b9962b410c57
hexd196bcd792e0

230445343544032 has 48 divisors (see below), whose sum is σ = 473550195888000. Its totient is φ = 110181490733952.

The previous prime is 230445343543889. The next prime is 230445343544041.

230445343544032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2304453435440322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42166818 + ... + 47317345.

It is an arithmetic number, because the mean of its divisors is an integer number (9865629081000).

Almost surely, 2230445343544032 is an apocalyptic number.

It is an amenable number.

230445343544032 is an abundant number, since it is smaller than the sum of its proper divisors (243104852343968).

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

230445343544032 is a wasteful number, since it uses less digits than its factorization.

230445343544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89487695 (or 89487687 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 46.

The spelling of 230445343544032 in words is "two hundred thirty trillion, four hundred forty-five billion, three hundred forty-three million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 3499 6998 13996 27992 55984 80477 111968 160954 321908 643816 1287632 2575264 89484163 178968326 357936652 715873304 1431746608 2058135749 2863493216 4116271498 8232542996 16465085992 32930171984 65860343968 313105086337 626210172674 1252420345348 2504840690696 5009681381392 7201416985751 10019362762784 14402833971502 28805667943004 57611335886008 115222671772016 230445343544032