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8236226328 = 23311199211743
BaseRepresentation
bin1111010101110101…
…01101011100011000
3210020222220122111120
413222322231130120
5113331433220303
63441134525240
7411046524441
oct75272553430
923228818446
108236226328
113547153820
12171a366820
13a13472405
14581bda2c8
1533310d553
hex1eaead718

8236226328 has 128 divisors (see below), whose sum is σ = 22712832000. Its totient is φ = 2468188800.

The previous prime is 8236226311. The next prime is 8236226347.

8236226328 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8236226328.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11084725 + ... + 11085467.

It is an arithmetic number, because the mean of its divisors is an integer number (177444000).

Almost surely, 28236226328 is an apocalyptic number.

8236226328 is a gapful number since it is divisible by the number (88) 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 8236226328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356416000).

8236226328 is an abundant number, since it is smaller than the sum of its proper divisors (14476605672).

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

8236226328 is a wasteful number, since it uses less digits than its factorization.

8236226328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 8236226328 is about 90753.6573808461. The cubic root of 8236226328 is about 2019.4948846495.

The spelling of 8236226328 in words is "eight billion, two hundred thirty-six million, two hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 211 264 398 422 597 633 743 796 844 1194 1266 1486 1592 1688 2189 2229 2321 2388 2532 2972 4378 4458 4642 4776 5064 5944 6567 6963 8173 8756 8916 9284 13134 13926 16346 17512 17832 18568 24519 26268 27852 32692 41989 49038 52536 55704 65384 83978 98076 125967 147857 156773 167956 196152 251934 295714 313546 335912 443571 461879 470319 503868 591428 627092 887142 923758 940638 1007736 1182856 1254184 1385637 1626427 1724503 1774284 1847516 1881276 2771274 3252854 3449006 3548568 3695032 3762552 4879281 5173509 5542548 6505708 6898012 9758562 10347018 11085096 13011416 13796024 19517124 20694036 31197827 39034248 41388072 62395654 93593481 124791308 187186962 249582616 343176097 374373924 686352194 748747848 1029528291 1372704388 2059056582 2745408776 4118113164 8236226328