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2330010020 = 2251316354979
BaseRepresentation
bin1000101011100001…
…0010000110100100
320000101022202212102
42022320102012210
514232440310040
61023112111232
7111511521062
oct21270220644
96011282772
102330010020
11a96259018
12550395518
132b1951870
14181641032
15d984d515
hex8ae121a4

2330010020 has 48 divisors (see below), whose sum is σ = 5301831360. Its totient is φ = 855017856.

The previous prime is 2330010013. The next prime is 2330010029. The reversal of 2330010020 is 200100332.

It is a junction number, because it is equal to n+sod(n) for n = 2330009983 and 2330010010.

It is not an unprimeable number, because it can be changed into a prime (2330010029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14891 + ... + 69869.

It is an arithmetic number, because the mean of its divisors is an integer number (110454820).

Almost surely, 22330010020 is an apocalyptic number.

2330010020 is a gapful number since it is divisible by the number (20) 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 2330010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650915680).

2330010020 is an abundant number, since it is smaller than the sum of its proper divisors (2971821340).

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

2330010020 is a wasteful number, since it uses less digits than its factorization.

2330010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55164 (or 55162 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2330010020 is about 48270.1773354936. The cubic root of 2330010020 is about 1325.7224056371.

Adding to 2330010020 its reverse (200100332), we get a palindrome (2530110352).

The spelling of 2330010020 in words is "two billion, three hundred thirty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 21190 42380 54979 109958 219916 274895 549790 714727 1099580 1429454 2858908 3573635 7147270 8961577 14294540 17923154 35846308 44807885 89615770 116500501 179231540 233001002 466002004 582502505 1165005010 2330010020