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8227849896 = 2332722419677
BaseRepresentation
bin1111010100110101…
…10000011010101000
3210020102011002012100
413222122300122220
5113322312144041
63440235213400
7410615366400
oct75232603250
923212132170
108227849896
113542452452
1217175a7260
13a117cb846
14580a59800
153325066b6
hex1ea6b06a8

8227849896 has 144 divisors (see below), whose sum is σ = 26032174740. Its totient is φ = 2340817920.

The previous prime is 8227849891. The next prime is 8227849913. The reversal of 8227849896 is 6989487228.

It can be written as a sum of positive squares in 2 ways, for example, as 7816328100 + 411521796 = 88410^2 + 20286^2 .

It is a super-2 number, since 2×82278498962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (8227849891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 845410 + ... + 855086.

Almost surely, 28227849896 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 8227849896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016087370).

8227849896 is an abundant number, since it is smaller than the sum of its proper divisors (17804324844).

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

8227849896 is a wasteful number, since it uses less digits than its factorization.

8227849896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944 (or 9930 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 8227849896 is about 90707.4963605545. The cubic root of 8227849896 is about 2018.8100281447.

The spelling of 8227849896 in words is "eight billion, two hundred twenty-seven million, eight hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 241 252 294 392 441 482 504 588 723 882 964 1176 1446 1687 1764 1928 2169 2892 3374 3528 4338 5061 5784 6748 8676 9677 10122 11809 13496 15183 17352 19354 20244 23618 29031 30366 35427 38708 40488 47236 58062 60732 67739 70854 77416 87093 94472 106281 116124 121464 135478 141708 174186 203217 212562 232248 270956 283416 348372 406434 425124 474173 541912 609651 696744 812868 850248 948346 1219302 1422519 1625736 1896692 2332157 2438604 2845038 3793384 4267557 4664314 4877208 5690076 6996471 8535114 9328628 11380152 13992942 16325099 17070228 18657256 20989413 27985884 32650198 34140456 41978826 48975297 55971768 65300396 83957652 97950594 114275693 130600792 146925891 167915304 195901188 228551386 293851782 342827079 391802376 457102772 587703564 685654158 914205544 1028481237 1175407128 1371308316 2056962474 2742616632 4113924948 8227849896