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2002330320 = 243523362741
BaseRepresentation
bin111011101011001…
…0010001011010000
312011112201220211020
41313112102023100
513100044032240
6530404515440
7100422345504
oct16726221320
95145656736
102002330320
11938299451
1247a6abb80
1325bab1c53
1414dd04304
15babc30d0
hex775922d0

2002330320 has 80 divisors (see below), whose sum is σ = 6477121152. Its totient is φ = 510737920.

The previous prime is 2002330313. The next prime is 2002330349. The reversal of 2002330320 is 230332002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002330320.

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, 175851 + ... + 186890.

Almost surely, 22002330320 is an apocalyptic number.

2002330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002330320 is an abundant number, since it is smaller than the sum of its proper divisors (4474790832).

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

2002330320 is a wasteful number, since it uses less digits than its factorization.

2002330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362780 (or 362774 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2002330320 is about 44747.4057348580. The cubic root of 2002330320 is about 1260.4101965028.

Adding to 2002330320 its reverse (230332002), we get a palindrome (2232662322).

The spelling of 2002330320 in words is "two billion, two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 362741 725482 1088223 1450964 1813705 2176446 2901928 3627410 4352892 5441115 5803856 7254820 8343043 8705784 10882230 14509640 16686086 17411568 21764460 25029129 29019280 33372172 41715215 43528920 50058258 66744344 83430430 87057840 100116516 125145645 133488688 166860860 200233032 250291290 333721720 400466064 500582580 667443440 1001165160 2002330320