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226944135 = 3251117149181
BaseRepresentation
bin11011000011011…
…10010010000111
3120211000221211100
431201232102013
5431044203020
634304111143
75423664465
oct1541562207
9524027740
10226944135
11107116540
12640054b3
133802c392
14221d7835
1514dcca90
hexd86e487

226944135 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 102297600.

The previous prime is 226944121. The next prime is 226944139. The reversal of 226944135 is 531449622.

It is a happy number.

226944135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226944135 - 212 = 226940039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226944135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226944139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1253745 + ... + 1253925.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2226944135 is an apocalyptic number.

226944135 is an abundant number, since it is smaller than the sum of its proper divisors (233006265).

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

226944135 is a wasteful number, since it uses less digits than its factorization.

226944135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 226944135 is about 15064.6651141006. The cubic root of 226944135 is about 609.9669739353.

The spelling of 226944135 in words is "two hundred twenty-six million, nine hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 149 153 165 181 187 255 447 495 543 561 745 765 905 935 1341 1629 1639 1683 1991 2235 2533 2715 2805 3077 4917 5973 6705 7599 8145 8195 8415 9231 9955 12665 14751 15385 17919 22797 24585 26969 27693 27863 29865 33847 37995 46155 73755 80907 83589 89595 101541 113985 134845 138465 139315 169235 242721 250767 296659 304623 404535 417945 458473 507705 889977 1213605 1253835 1375419 1483295 1523115 2292365 2669931 4126257 4449885 5043203 6877095 13349655 15129609 20631285 25216015 45388827 75648045 226944135