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226645566 = 237191911487
BaseRepresentation
bin11011000001001…
…01011000111110
3120210110210021020
431200211120332
5431010124231
634253445010
75421312150
oct1540453076
9523423236
10226645566
11106a32194
1263aa0766
1337c56504
142215aad0
1514d6e396
hexd82563e

226645566 has 64 divisors (see below), whose sum is σ = 548536320. Its totient is φ = 60985440.

The previous prime is 226645541. The next prime is 226645567. The reversal of 226645566 is 665546622.

226645566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226645567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151675 + ... + 153161.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2226645566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226645566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

226645566 is an abundant number, since it is smaller than the sum of its proper divisors (321890754).

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

226645566 is a wasteful number, since it uses less digits than its factorization.

226645566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709.

The product of its digits is 518400, while the sum is 42.

The square root of 226645566 is about 15054.7522729535. The cubic root of 226645566 is about 609.6993645335.

The spelling of 226645566 in words is "two hundred twenty-six million, six hundred forty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 191 266 382 399 573 798 1146 1337 1487 2674 2974 3629 4011 4461 7258 8022 8922 10409 10887 20818 21774 25403 28253 31227 50806 56506 62454 76209 84759 152418 169518 197771 284017 395542 568034 593313 852051 1186626 1704102 1988119 3976238 5396323 5964357 10792646 11928714 16188969 32377938 37774261 75548522 113322783 226645566