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82226718 = 2337191072
BaseRepresentation
bin1001110011010…
…10111000011110
312201201112212000
410321222320132
5132022223333
612054223130
72015626020
oct471527036
9181645760
1082226718
1142462172
1223654aa6
131405ca82
14acc6010
157343713
hex4e6ae1e

82226718 has 96 divisors (see below), whose sum is σ = 221894400. Its totient is φ = 22048848.

The previous prime is 82226659. The next prime is 82226741. The reversal of 82226718 is 81762228.

It is a happy number.

It is a super-2 number, since 2×822267182 = 13522466306103048, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768421 + ... + 768527.

It is an arithmetic number, because the mean of its divisors is an integer number (2311400).

Almost surely, 282226718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82226718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110947200).

82226718 is an abundant number, since it is smaller than the sum of its proper divisors (139667682).

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

82226718 is a wasteful number, since it uses less digits than its factorization.

82226718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 138 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82226718 is about 9067.8949045520. The cubic root of 82226718 is about 434.8481753156.

It can be divided in two parts, 82226 and 718, that added together give a square (82944 = 2882).

The spelling of 82226718 in words is "eighty-two million, two hundred twenty-six thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 107 114 126 133 171 189 214 266 321 342 378 399 513 642 749 798 963 1026 1197 1498 1926 2033 2247 2394 2889 3591 4066 4494 5778 6099 6741 7182 11449 12198 13482 14231 18297 20223 22898 28462 34347 36594 40446 42693 54891 68694 80143 85386 103041 109782 128079 160286 206082 217531 240429 256158 309123 384237 435062 480858 618246 652593 721287 768474 1305186 1442574 1522717 1957779 2163861 3045434 3915558 4327722 4568151 5873337 9136302 11746674 13704453 27408906 41113359 82226718