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2830200966 = 233372715227
BaseRepresentation
bin1010100010110001…
…0111000010000110
321022020112002212000
42220230113002012
521244012412331
61144501010130
7130064211525
oct25054270206
97266462760
102830200966
11122263596a
1266b9b3946
13361472838
141cbc464bc
151187030e6
hexa8b17086

2830200966 has 64 divisors (see below), whose sum is σ = 6484392960. Its totient is φ = 914340960.

The previous prime is 2830200911. The next prime is 2830200983. The reversal of 2830200966 is 6690020382.

It is a self number, because there is not a number n which added to its sum of digits gives 2830200966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538845 + ... + 544071.

It is an arithmetic number, because the mean of its divisors is an integer number (101318640).

Almost surely, 22830200966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830200966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242196480).

2830200966 is an abundant number, since it is smaller than the sum of its proper divisors (3654191994).

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

2830200966 is a wasteful number, since it uses less digits than its factorization.

2830200966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2830200966 is about 53199.6331378328. The cubic root of 2830200966 is about 1414.5091408002.

The spelling of 2830200966 in words is "two billion, eight hundred thirty million, two hundred thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 271 333 542 666 813 999 1626 1998 2439 4878 5227 7317 10027 10454 14634 15681 20054 30081 31362 47043 60162 90243 94086 141129 180486 193399 270729 282258 386798 541458 580197 1160394 1416517 1740591 2833034 3481182 4249551 5221773 8499102 10443546 12748653 25497306 38245959 52411129 76491918 104822258 157233387 314466774 471700161 943400322 1415100483 2830200966