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226441386276 = 223726711009259
BaseRepresentation
bin1101001011100011110…
…1010101100100100100
3210122111002102021120020
43102320331111210210
512202222443330101
6252005320435140
722234300011510
oct3227075254444
9718432367506
10226441386276
1188040294056
1237a76918ab0
1318479364981
14ad61a71140
155d54964136
hex34b8f55924

226441386276 has 48 divisors (see below), whose sum is σ = 604070369280. Its totient is φ = 64673252640.

The previous prime is 226441386251. The next prime is 226441386277. The reversal of 226441386276 is 672683144622.

226441386276 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2264413862763 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (226441386277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280266 + ... + 728993.

It is an arithmetic number, because the mean of its divisors is an integer number (12584799360).

Almost surely, 2226441386276 is an apocalyptic number.

It is an amenable number.

226441386276 is an abundant number, since it is smaller than the sum of its proper divisors (377628983004).

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

226441386276 is a wasteful number, since it uses less digits than its factorization.

226441386276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011944 (or 1011942 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 226441386276 in words is "two hundred twenty-six billion, four hundred forty-one million, three hundred eighty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2671 5342 8013 10684 16026 18697 32052 37394 56091 74788 112182 224364 1009259 2018518 3027777 4037036 6055554 7064813 12111108 14129626 21194439 28259252 42388878 84777756 2695730789 5391461578 8087192367 10782923156 16174384734 18870115523 32348769468 37740231046 56610346569 75480462092 113220693138 226441386276