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2279323314 = 234171994159
BaseRepresentation
bin1000011111011011…
…1011011010110010
312212211221121210000
42013312323122302
514132001321224
61014101450430
7110324633322
oct20766733262
95784847700
102279323314
11a6a689384
12537410a16
132a42b5a28
14178a09282
15d518a0c9
hex87dbb6b2

2279323314 has 80 divisors (see below), whose sum is σ = 5436288000. Its totient is φ = 711317376.

The previous prime is 2279323313. The next prime is 2279323357. The reversal of 2279323314 is 4133239722.

It is not an unprimeable number, because it can be changed into a prime (2279323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545967 + ... + 550125.

It is an arithmetic number, because the mean of its divisors is an integer number (67953600).

Almost surely, 22279323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2279323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718144000).

2279323314 is an abundant number, since it is smaller than the sum of its proper divisors (3156964686).

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

2279323314 is a wasteful number, since it uses less digits than its factorization.

2279323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4380 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2279323314 is about 47742.2592050272. The cubic root of 2279323314 is about 1316.0386506542.

The spelling of 2279323314 in words is "two billion, two hundred seventy-nine million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 199 306 398 459 597 918 1194 1377 1791 2754 3383 3582 4159 5373 6766 8318 10149 10746 12477 16119 20298 24954 30447 32238 37431 60894 70703 74862 91341 112293 141406 182682 212109 224586 274023 336879 424218 548046 636327 673758 827641 1272654 1655282 1908981 2482923 3817962 4965846 5726943 7448769 11453886 14069897 14897538 22346307 28139794 42209691 44692614 67038921 84419382 126629073 134077842 253258146 379887219 759774438 1139661657 2279323314