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3232000112 = 241123898971
BaseRepresentation
bin1100000010100100…
…0110100001110000
322100020120121122212
43000221012201300
523104343000422
61252412551252
7143043355565
oct30051064160
98306517585
103232000112
11140941a580
12762482528
133c6794003
1422935886c
1513db1e9e2
hexc0a46870

3232000112 has 80 divisors (see below), whose sum is σ = 7209181440. Its totient is φ = 1389273600.

The previous prime is 3232000103. The next prime is 3232000129. The reversal of 3232000112 is 2110002323.

It is a happy number.

It is a super-3 number, since 3×32320001123 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355787 + ... + 364757.

It is an arithmetic number, because the mean of its divisors is an integer number (90114768).

Almost surely, 23232000112 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 3232000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604590720).

3232000112 is an abundant number, since it is smaller than the sum of its proper divisors (3977181328).

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

3232000112 is a wasteful number, since it uses less digits than its factorization.

3232000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3232000112 is about 56850.6825992441. The cubic root of 3232000112 is about 1478.5083754212.

Adding to 3232000112 its reverse (2110002323), we get a palindrome (5342002435).

The spelling of 3232000112 in words is "three billion, two hundred thirty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 23 44 46 88 89 92 176 178 184 253 356 368 506 712 979 1012 1424 1958 2024 2047 3916 4048 4094 7832 8188 8971 15664 16376 17942 22517 32752 35884 45034 71768 90068 98681 143536 180136 197362 206333 360272 394724 412666 789448 798419 825332 1578896 1596838 1650664 2269663 3193676 3301328 4539326 6387352 8782609 9078652 12774704 17565218 18157304 18363637 35130436 36314608 36727274 70260872 73454548 140521744 146909096 202000007 293818192 404000014 808000028 1616000056 3232000112