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14226366 = 2372115383
BaseRepresentation
bin110110010001…
…001110111110
3222202202220110
4312101032332
512120220431
61224530450
7231631200
oct66211676
928682813
1014226366
118037530
124920a26
132c4148b
141c64770
1513b0346
hexd913be

14226366 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 3581760.

The previous prime is 14226347. The next prime is 14226367. The reversal of 14226366 is 66362241.

14226366 = 3292 + 3302 + ... + 4272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14226367) 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, 171361 + ... + 171443.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 214226366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14226366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

14226366 is an abundant number, since it is smaller than the sum of its proper divisors (23005122).

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

14226366 is a wasteful number, since it uses less digits than its factorization.

14226366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 14226366 is about 3771.7855188226. The cubic root of 14226366 is about 242.3062738758.

The spelling of 14226366 in words is "fourteen million, two hundred twenty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 83 98 106 147 154 159 166 231 249 294 318 371 462 498 539 581 583 742 913 1078 1113 1162 1166 1617 1743 1749 1826 2226 2597 2739 3234 3486 3498 4067 4081 4399 5194 5478 6391 7791 8134 8162 8798 12201 12243 12782 13197 15582 19173 24402 24486 26394 28567 30793 38346 44737 48389 57134 61586 85701 89474 92379 96778 134211 145167 171402 184758 215551 268422 290334 338723 431102 646653 677446 1016169 1293306 2032338 2371061 4742122 7113183 14226366