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6228998226 = 23311412511019
BaseRepresentation
bin1011100110100011…
…01111100001010010
3121002002221220012000
411303101233201102
5100224110420401
62510033014430
7310234416453
oct56321574122
917062856160
106228998226
11270711a620
12125a0b4416
13783667089
144313bd12a
15266cbe186
hex17346f852

6228998226 has 128 divisors (see below), whose sum is σ = 15545779200. Its totient is φ = 1832400000.

The previous prime is 6228998197. The next prime is 6228998231.

6228998226 is a `hidden beast` number, since 622 + 8 + 9 + 9 + 8 + 2 + 2 + 6 = 666.

6228998226 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×62289982262 = 77600837799022294152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6112345 + ... + 6113363.

It is an arithmetic number, because the mean of its divisors is an integer number (121451400).

Almost surely, 26228998226 is an apocalyptic number.

6228998226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6228998226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

6228998226 is an abundant number, since it is smaller than the sum of its proper divisors (9316780974).

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

6228998226 is a wasteful number, since it uses less digits than its factorization.

6228998226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6228998226 is about 78924.0028508438. The cubic root of 6228998226 is about 1839.9502020628.

The spelling of 6228998226 in words is "six billion, two hundred twenty-eight million, nine hundred ninety-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 251 297 369 451 502 594 738 753 902 1019 1107 1353 1506 2038 2214 2259 2706 2761 3057 4059 4518 5522 6114 6777 8118 8283 9171 10291 11209 12177 13554 16566 18342 20582 22418 24354 24849 27513 30873 33627 41779 49698 55026 61746 67254 74547 83558 92619 100881 113201 125337 149094 185238 201762 226402 250674 255769 277857 302643 339603 376011 459569 511538 555714 605286 679206 752022 767307 919138 1018809 1128033 1378707 1534614 2037618 2256066 2301921 2757414 2813459 3056427 4136121 4603842 5626918 6112854 6905763 8272242 8440377 10486529 12408363 13811526 16880754 20973058 24816726 25321131 31459587 50642262 62919174 75963393 94378761 115351819 151926786 188757522 230703638 283136283 346055457 566272566 692110914 1038166371 2076332742 3114499113 6228998226