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2806230820 = 2252916329683
BaseRepresentation
bin1010011101000011…
…1010111100100100
321020120102021222211
42213100322330210
521221343341240
61142243133204
7126353365651
oct24720727444
97216367884
102806230820
111210053828
12663974204
133594cc313
141c89a6c28
1511656abea
hexa743af24

2806230820 has 48 divisors (see below), whose sum is σ = 6133901760. Its totient is φ = 1077100416.

The previous prime is 2806230761. The next prime is 2806230827. The reversal of 2806230820 is 280326082.

2806230820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2806230827) 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, 79699 + ... + 109381.

It is an arithmetic number, because the mean of its divisors is an integer number (127789620).

Almost surely, 22806230820 is an apocalyptic number.

2806230820 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 2806230820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066950880).

2806230820 is an abundant number, since it is smaller than the sum of its proper divisors (3327670940).

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

2806230820 is a wasteful number, since it uses less digits than its factorization.

2806230820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29884 (or 29882 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2806230820 is about 52973.8692187006. The cubic root of 2806230820 is about 1410.5044587675.

The spelling of 2806230820 in words is "two billion, eight hundred six million, two hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 163 290 326 580 652 815 1630 3260 4727 9454 18908 23635 29683 47270 59366 94540 118732 148415 296830 593660 860807 1721614 3443228 4304035 4838329 8608070 9676658 17216140 19353316 24191645 48383290 96766580 140311541 280623082 561246164 701557705 1403115410 2806230820