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2306285568 = 2133310427
BaseRepresentation
bin1000100101110111…
…0010000000000000
312221201200110001000
42021131302000000
514210402114233
61020503412000
7111103050426
oct21135620000
95851613030
102306285568
11a83924534
12544454000
132a9a66122
1417c427116
15d7713d13
hex89772000

2306285568 has 112 divisors (see below), whose sum is σ = 6833676960. Its totient is φ = 768688128.

The previous prime is 2306285563. The next prime is 2306285587. The reversal of 2306285568 is 8655826032.

2306285568 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 85 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (2306285563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215971 + ... + 226397.

Almost surely, 22306285568 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 2306285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416838480).

2306285568 is an abundant number, since it is smaller than the sum of its proper divisors (4527391392).

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

2306285568 is an equidigital number, since it uses as much as digits as its factorization.

2306285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10462 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2306285568 is about 48023.8020985428. The cubic root of 2306285568 is about 1321.2074901345.

It can be divided in two parts, 230628 and 5568, that added together give a square (236196 = 4862).

The spelling of 2306285568 in words is "two billion, three hundred six million, two hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 10427 12288 13824 18432 20854 24576 27648 31281 36864 41708 55296 62562 73728 83416 93843 110592 125124 166832 187686 221184 250248 281529 333664 375372 500496 563058 667328 750744 1000992 1126116 1334656 1501488 2001984 2252232 2669312 3002976 4003968 4504464 5338624 6005952 8007936 9008928 10677248 12011904 16015872 18017856 21354496 24023808 32031744 36035712 42708992 48047616 64063488 72071424 85417984 96095232 128126976 144142848 192190464 256253952 288285696 384380928 576571392 768761856 1153142784 2306285568