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2284460004 = 2232347612887
BaseRepresentation
bin1000100000101010…
…0001011111100100
312220012121120222210
42020022201133210
514134310210004
61014403523420
7110416406151
oct21012413744
95805546883
102284460004
11a72577682
12539089570
132a5393aa8
14179585228
15d5852089
hex882a17e4

2284460004 has 96 divisors (see below), whose sum is σ = 5775630336. Its totient is φ = 700951680.

The previous prime is 2284459997. The next prime is 2284460023. The reversal of 2284460004 is 4000644822.

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, 789849 + ... + 792735.

It is an arithmetic number, because the mean of its divisors is an integer number (60162816).

Almost surely, 22284460004 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 2284460004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887815168).

2284460004 is an abundant number, since it is smaller than the sum of its proper divisors (3491170332).

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

2284460004 is a wasteful number, since it uses less digits than its factorization.

2284460004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2284460004 is about 47796.0249811634. The cubic root of 2284460004 is about 1317.0265185157.

The spelling of 2284460004 in words is "two billion, two hundred eighty-four million, four hundred sixty thousand, four".

Divisors: 1 2 3 4 6 12 23 46 47 61 69 92 94 122 138 141 183 188 244 276 282 366 564 732 1081 1403 2162 2806 2867 2887 3243 4209 4324 5612 5734 5774 6486 8418 8601 8661 11468 11548 12972 16836 17202 17322 34404 34644 65941 66401 131882 132802 135689 176107 197823 199203 263764 265604 271378 352214 395646 398406 407067 528321 542756 704428 791292 796812 814134 1056642 1628268 2113284 3120847 4050461 6241694 8100922 8277029 9362541 12151383 12483388 16201844 16554058 18725082 24302766 24831087 33108116 37450164 48605532 49662174 99324348 190371667 380743334 571115001 761486668 1142230002 2284460004