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2230686304 = 25711282301
BaseRepresentation
bin1000010011110101…
…1001001001100000
312202110102121100021
42010331121021200
514032023430204
61005203203224
7106164343420
oct20475311140
95673377307
102230686304
11a45189700
12523076514
132971b6b32
14172388480
15d0c7e154
hex84f59260

2230686304 has 72 divisors (see below), whose sum is σ = 5516867664. Its totient is φ = 869088000.

The previous prime is 2230686281. The next prime is 2230686319. The reversal of 2230686304 is 4036860322.

It is a super-2 number, since 2×22306863042 = 9951922773706360832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2230686304.

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 11 ways as a sum of consecutive naturals, for example, 14047 + ... + 68254.

It is an arithmetic number, because the mean of its divisors is an integer number (76623162).

Almost surely, 22230686304 is an apocalyptic number.

It is an amenable number.

2230686304 is an abundant number, since it is smaller than the sum of its proper divisors (3286181360).

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

2230686304 is a wasteful number, since it uses less digits than its factorization.

2230686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82340 (or 82321 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2230686304 is about 47230.1419011207. The cubic root of 2230686304 is about 1306.6105693442.

The spelling of 2230686304 in words is "two billion, two hundred thirty million, six hundred eighty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 82301 164602 329204 576107 658408 905311 1152214 1316816 1810622 2304428 2633632 3621244 4608856 6337177 7242488 9217712 9958421 12674354 14484976 18435424 19916842 25348708 28969952 39833684 50697416 69708947 79667368 101394832 139417894 159334736 202789664 278835788 318669472 557671576 1115343152 2230686304