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226783614340 = 225157229315389
BaseRepresentation
bin1101001100110101011…
…0110101010110000100
3210200100221101021012201
43103031112311112010
512203423101124330
6252103303524244
722245623626123
oct3231526652604
9720327337181
10226783614340
11881a6490068
1237b51459684
131850222949a
14ad952b7aba
155d74a14eca
hex34cd5b5584

226783614340 has 48 divisors (see below), whose sum is σ = 481373449200. Its totient is φ = 89741763072.

The previous prime is 226783614311. The next prime is 226783614341. The reversal of 226783614340 is 43416387622.

226783614340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4535483716 + 222248130624 = 67346^2 + 471432^2 .

It is a super-2 number, since 2×2267836143402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226783614341) 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, 561366 + ... + 876754.

It is an arithmetic number, because the mean of its divisors is an integer number (10028613525).

Almost surely, 2226783614340 is an apocalyptic number.

226783614340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226783614340 is an abundant number, since it is smaller than the sum of its proper divisors (254589834860).

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

226783614340 is a wasteful number, since it uses less digits than its factorization.

226783614340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315784 (or 315782 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 226783614340 in words is "two hundred twenty-six billion, seven hundred eighty-three million, six hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 157 229 314 458 628 785 916 1145 1570 2290 3140 4580 35953 71906 143812 179765 315389 359530 630778 719060 1261556 1576945 3153890 6307780 49516073 72224081 99032146 144448162 198064292 247580365 288896324 361120405 495160730 722240810 990321460 1444481620 11339180717 22678361434 45356722868 56695903585 113391807170 226783614340