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239323323932 = 227211167664691
BaseRepresentation
bin1101111011100011001…
…0000001111000011100
3211212201212001111221022
43132320302001320130
512410113232331212
6301535453223312
723201440455200
oct3367062017034
9755655044838
10239323323932
1192550860520
123a470a91b38
131975013a6a4
14b824866b00
15635a844772
hex37b8c81e1c

239323323932 has 72 divisors (see below), whose sum is σ = 534667609728. Its totient is φ = 92684373600.

The previous prime is 239323323917. The next prime is 239323323937.

239323323932 is nontrivially palindromic in base 10.

239323323932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2393233239322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239323323937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27707 + ... + 692397.

It is an arithmetic number, because the mean of its divisors is an integer number (7425939024).

Almost surely, 2239323323932 is an apocalyptic number.

239323323932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239323323932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267333804864).

239323323932 is an abundant number, since it is smaller than the sum of its proper divisors (295344285796).

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

239323323932 is a wasteful number, since it uses less digits than its factorization.

239323323932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664887 (or 664878 counting only the distinct ones).

The product of its digits is 944784, while the sum is 44.

The spelling of 239323323932 in words is "two hundred thirty-nine billion, three hundred twenty-three million, three hundred twenty-three thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 167 196 308 334 539 668 1078 1169 1837 2156 2338 3674 4676 7348 8183 12859 16366 25718 32732 51436 90013 180026 360052 664691 1329382 2658764 4652837 7311601 9305674 14623202 18611348 29246404 32569859 51181207 65139718 102362414 111003397 130279436 204724828 222006794 358268449 444013588 716536898 777023779 1221037367 1433073796 1554047558 2442074734 3108095116 4884149468 5439166453 8547261569 10878332906 17094523138 21756665812 34189046276 59830830983 119661661966 239323323932