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132223202340 = 2235139103915259
BaseRepresentation
bin111101100100100011…
…1011111010000100100
3110122021212021121220020
41323021013133100210
54131243114433330
6140424214035140
712360420450555
oct1731107372044
9418255247806
10132223202340
1151091606a39
1221761348ab0
13c61266b088
14658486632c
15368d115210
hex1ec91df424

132223202340 has 96 divisors (see below), whose sum is σ = 373271808000. Its totient is φ = 34969871232.

The previous prime is 132223202329. The next prime is 132223202369. The reversal of 132223202340 is 43202322231.

It is a self number, because there is not a number n which added to its sum of digits gives 132223202340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8657631 + ... + 8672889.

It is an arithmetic number, because the mean of its divisors is an integer number (3888248000).

Almost surely, 2132223202340 is an apocalyptic number.

132223202340 is a gapful number since it is divisible by the number (10) 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 132223202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186635904000).

132223202340 is an abundant number, since it is smaller than the sum of its proper divisors (241048605660).

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

132223202340 is a wasteful number, since it uses less digits than its factorization.

132223202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16449 (or 16447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132223202340 its reverse (43202322231), we get a palindrome (175425524571).

The spelling of 132223202340 in words is "one hundred thirty-two billion, two hundred twenty-three million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1039 1390 1668 2078 2085 2780 3117 4156 4170 5195 6234 8340 10390 12468 15259 15585 20780 30518 31170 45777 61036 62340 76295 91554 144421 152590 183108 228885 288842 305180 433263 457770 577684 722105 866526 915540 1444210 1733052 2121001 2166315 2888420 4242002 4332630 6363003 8484004 8665260 10605005 12726006 15854101 21210010 25452012 31708202 31815015 42420020 47562303 63416404 63630030 79270505 95124606 127260060 158541010 190249212 237811515 317082020 475623030 951246060 2203720039 4407440078 6611160117 8814880156 11018600195 13222320234 22037200390 26444640468 33055800585 44074400780 66111601170 132223202340