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2380185216 = 27331514561
BaseRepresentation
bin1000110111011110…
…1011111010000000
320010212201221022000
42031313223322000
514333311411331
61032103344000
7112661145333
oct21567537200
96125657260
102380185216
111011609422
12565152000
132bc16b926
1418818261a
15dde600e6
hex8ddebe80

2380185216 has 128 divisors (see below), whose sum is σ = 7072924800. Its totient is φ = 787968000.

The previous prime is 2380185193. The next prime is 2380185217. The reversal of 2380185216 is 6125810832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2380185217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519576 + ... + 524136.

It is an arithmetic number, because the mean of its divisors is an integer number (55257225).

Almost surely, 22380185216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536462400).

2380185216 is an abundant number, since it is smaller than the sum of its proper divisors (4692739584).

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

2380185216 is a wasteful number, since it uses less digits than its factorization.

2380185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2380185216 is about 48787.1419125982. The cubic root of 2380185216 is about 1335.1710827330.

The spelling of 2380185216 in words is "two billion, three hundred eighty million, one hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 288 302 384 432 453 576 604 864 906 1152 1208 1359 1728 1812 2416 2718 3456 3624 4077 4561 4832 5436 7248 8154 9122 9664 10872 13683 14496 16308 18244 19328 21744 27366 28992 32616 36488 41049 43488 54732 57984 65232 72976 82098 86976 109464 123147 130464 145952 164196 173952 218928 246294 260928 291904 328392 437856 492588 521856 583808 656784 688711 875712 985176 1313568 1377422 1751424 1970352 2066133 2627136 2754844 3940704 4132266 5254272 5509688 6198399 7881408 8264532 11019376 12396798 15762816 16529064 18595197 22038752 24793596 33058128 37190394 44077504 49587192 66116256 74380788 88155008 99174384 132232512 148761576 198348768 264465024 297523152 396697536 595046304 793395072 1190092608 2380185216