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226281276 = 223413311733
BaseRepresentation
bin11010111110011…
…00011100111100
3120202210021120000
431133030130330
5430412000101
634241554300
75415234114
oct1537143474
9522707500
10226281276
11106803521
1263945990
1337b59760
14220a4044
1514ceb486
hexd7cc73c

226281276 has 120 divisors (see below), whose sum is σ = 657976704. Its totient is φ = 67340160.

The previous prime is 226281217. The next prime is 226281277. The reversal of 226281276 is 672182622.

226281276 is a `hidden beast` number, since 2 + 2 + 628 + 1 + 27 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226281276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226281277) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 129706 + ... + 131438.

Almost surely, 2226281276 is an apocalyptic number.

226281276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226281276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328988352).

226281276 is an abundant number, since it is smaller than the sum of its proper divisors (431695428).

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

226281276 is a wasteful number, since it uses less digits than its factorization.

226281276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1782 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 226281276 is about 15042.6485699826. The cubic root of 226281276 is about 609.3725304515.

It can be divided in two parts, 2262 and 81276, that added together give a palindrome (83538).

The spelling of 226281276 in words is "two hundred twenty-six million, two hundred eighty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 1733 2106 2418 2511 3348 3466 3627 4212 4836 5022 5199 6932 7254 10044 10398 10881 14508 15597 20796 21762 22529 31194 32643 43524 45058 46791 53723 62388 65286 67587 90116 93582 107446 130572 135174 140373 161169 187164 202761 214892 270348 280746 322338 405522 483507 561492 608283 644676 698399 811044 967014 1216566 1396798 1450521 1824849 1934028 2095197 2433132 2793596 2901042 3649698 4190394 4351563 5802084 6285591 7299396 8380788 8703126 12571182 17406252 18856773 25142364 37713546 56570319 75427092 113140638 226281276