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230230646646 = 2371113331115811
BaseRepresentation
bin1101011001101011010…
…0001101111101110110
3211000021011120122120220
43112122310031331312
512233003021143041
6253433321435210
722430221131030
oct3263264157566
9730234518526
10230230646646
118970521a4a0
123875393bb06
131893140b980
14b201008c50
155ec745cd66
hex359ad0df76

230230646646 has 128 divisors (see below), whose sum is σ = 620114890752. Its totient is φ = 55032912000.

The previous prime is 230230646627. The next prime is 230230646647. The reversal of 230230646646 is 646646032032.

230230646646 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302306466462 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 230230646598 and 230230646607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230230646647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930081 + ... + 2045891.

It is an arithmetic number, because the mean of its divisors is an integer number (4844647584).

Almost surely, 2230230646646 is an apocalyptic number.

230230646646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230230646646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310057445376).

230230646646 is an abundant number, since it is smaller than the sum of its proper divisors (389884244106).

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

230230646646 is a wasteful number, since it uses less digits than its factorization.

230230646646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116178.

The product of its (nonzero) digits is 746496, while the sum is 42.

Adding to 230230646646 its reverse (646646032032), we get a palindrome (876876678678).

The spelling of 230230646646 in words is "two hundred thirty billion, two hundred thirty million, six hundred forty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 331 429 462 546 662 858 993 1001 1986 2002 2317 3003 3641 4303 4634 6006 6951 7282 8606 10923 12909 13902 21846 25487 25818 30121 47333 50974 60242 76461 90363 94666 115811 141999 152922 180726 231622 283998 331331 347433 662662 694866 810677 993993 1273921 1505543 1621354 1987986 2432031 2547842 3011086 3821763 4516629 4864062 7643526 8917447 9033258 10538801 16560973 17834894 21077602 26752341 31616403 33121946 38333441 49682919 53504682 63232806 76666882 99365838 115000323 115926811 230000646 231853622 268334087 347780433 421667851 498334733 536668174 695560866 805002261 843335702 996669466 1265003553 1495004199 1610004522 2530007106 2951674957 2990008398 3488343131 5481682063 5903349914 6976686262 8855024871 10465029393 10963364126 16445046189 17710049742 20930058786 32890092378 38371774441 76743548882 115115323323 230230646646