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2330050086 = 2327133145887
BaseRepresentation
bin1000101011100001…
…1011111000100110
320000101101210211100
42022320123320212
514232443100321
61023113020530
7111512045640
oct21270337046
96011353740
102330050086
11a96286131
125503b4746
132b1966b80
14181651890
15d985a326
hex8ae1be26

2330050086 has 96 divisors (see below), whose sum is σ = 6414041088. Its totient is φ = 594682560.

The previous prime is 2330050067. The next prime is 2330050087. The reversal of 2330050086 is 6800500332.

2330050086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330050087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27835 + ... + 73721.

It is an arithmetic number, because the mean of its divisors is an integer number (66812928).

Almost surely, 22330050086 is an apocalyptic number.

2330050086 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 2330050086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207020544).

2330050086 is an abundant number, since it is smaller than the sum of its proper divisors (4083991002).

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

2330050086 is a wasteful number, since it uses less digits than its factorization.

2330050086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45946 (or 45943 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2330050086 is about 48270.5923518657. The cubic root of 2330050086 is about 1325.7300044728.

The spelling of 2330050086 in words is "two billion, three hundred thirty million, fifty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 45887 50778 91774 137661 275322 321209 412983 596531 642418 825966 963627 1193062 1422497 1789593 1927254 2844994 2890881 3579186 4175717 4267491 5368779 5781762 8351434 8534982 9957479 10737558 12527151 12802473 18492461 19914958 25054302 25604946 29872437 36984922 37581453 55477383 59744874 75162906 89617311 110954766 129447227 166432149 179234622 258894454 332864298 388341681 776683362 1165025043 2330050086