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2314822328 = 2372133114653
BaseRepresentation
bin1000100111111001…
…0110001010111000
312222022202011021022
42021332112022320
514220043303303
61021410402012
7111235444100
oct21176261270
95868664238
102314822328
11a88725305
12547290308
132ab764970
1417d60a200
15d834d438
hex89f962b8

2314822328 has 96 divisors (see below), whose sum is σ = 5613068160. Its totient is φ = 886152960.

The previous prime is 2314822319. The next prime is 2314822339. The reversal of 2314822328 is 8232284132.

2314822328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150650 + ... + 165302.

It is an arithmetic number, because the mean of its divisors is an integer number (58469460).

Almost surely, 22314822328 is an apocalyptic number.

2314822328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314822328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806534080).

2314822328 is an abundant number, since it is smaller than the sum of its proper divisors (3298245832).

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

2314822328 is a wasteful number, since it uses less digits than its factorization.

2314822328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14717 (or 14706 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 2314822328 is about 48112.6005117163. The cubic root of 2314822328 is about 1322.8356411445.

The spelling of 2314822328 in words is "two billion, three hundred fourteen million, eight hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 5096 5642 6076 11284 12152 14653 19747 22568 29306 39494 58612 78988 102571 117224 157976 190489 205142 380978 410284 454243 717997 761956 820568 908486 1333423 1435994 1523912 1816972 2666846 2871988 3179701 3633944 5333692 5743976 5905159 6359402 9333961 10667384 11810318 12718804 18667922 22257907 23620636 25437608 37335844 41336113 44515814 47241272 74671688 82672226 89031628 165344452 178063256 289352791 330688904 578705582 1157411164 2314822328