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114263226 = 232711194339
BaseRepresentation
bin1101100111110…
…00010010111010
321222000011200100
412303320102322
5213222410401
615201020230
72555135640
oct663702272
9258004610
10114263226
1159553720
1232324676
131a89899c
1411265190
15a070b86
hex6cf84ba

114263226 has 96 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 28110240.

The previous prime is 114263221. The next prime is 114263257. The reversal of 114263226 is 622362411.

114263226 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 632 + 26 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114263226.

It is not an unprimeable number, because it can be changed into a prime (114263221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24165 + ... + 28503.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2114263226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114263226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

114263226 is an abundant number, since it is smaller than the sum of its proper divisors (210715974).

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

114263226 is a wasteful number, since it uses less digits than its factorization.

114263226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4381 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114263226 is about 10689.3978314964. The cubic root of 114263226 is about 485.2536682721.

The spelling of 114263226 in words is "one hundred fourteen million, two hundred sixty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4339 4389 8678 8778 13017 13167 26034 26334 30373 39051 47729 60746 78102 82441 91119 95458 143187 164882 182238 247323 273357 286374 334103 429561 494646 546714 577087 668206 741969 859122 906851 1002309 1154174 1483938 1731261 1813702 2004618 2720553 3006927 3462522 5193783 5441106 6013854 6347957 8161659 10387566 12695914 16323318 19043871 38087742 57131613 114263226