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320332021232 = 242313714474391
BaseRepresentation
bin1001010100101010100…
…01101011110111110000
31010121211111012201111112
410222111101223313300
520222014444134412
6403054122532452
732100061153226
oct4522521536760
91117744181445
10320332021232
11113941090833
12520ba667128
13242902362c2
141170b574b16
1584ec661722
hex4a9546bdf0

320332021232 has 80 divisors (see below), whose sum is σ = 652954493952. Its totient is φ = 151944291840.

The previous prime is 320332021201. The next prime is 320332021283. The reversal of 320332021232 is 232120233023.

It is a super-2 number, since 2×3203320212322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 320332021198 and 320332021207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72949757 + ... + 72954147.

Almost surely, 2320332021232 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 320332021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326477246976).

320332021232 is an abundant number, since it is smaller than the sum of its proper divisors (332622472720).

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

320332021232 is a wasteful number, since it uses less digits than its factorization.

320332021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 320332021232 its reverse (232120233023), we get a palindrome (552452254255).

The spelling of 320332021232 in words is "three hundred twenty billion, three hundred thirty-two million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 1096 1447 2192 2894 3151 4391 5788 6302 8782 11576 12604 17564 23152 25208 33281 35128 50416 66562 70256 100993 133124 198239 201986 266248 396478 403972 532496 601567 792956 807944 1203134 1585912 1615888 2406268 3171824 4559497 4812536 6353777 9118994 9625072 12707554 13836041 18237988 25415108 27672082 36475976 50830216 55344164 72951952 101660432 110688328 146136871 221376656 292273742 584547484 870467449 1169094968 1740934898 2338189936 3481869796 6963739592 13927479184 20020751327 40041502654 80083005308 160166010616 320332021232