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305810226 = 232314113367
BaseRepresentation
bin10010001110100…
…100101100110010
3210022102202202200
4102032210230302
51111241411401
650202324030
710402226001
oct2216445462
9708382680
10305810226
11147692827
12864b9616
134b4835c7
142c886c38
151bcaa686
hex123a4b32

305810226 has 48 divisors (see below), whose sum is σ = 700697088. Its totient is φ = 96235200.

The previous prime is 305810207. The next prime is 305810227. The reversal of 305810226 is 622018503.

It is a self number, because there is not a number n which added to its sum of digits gives 305810226.

It is not an unprimeable number, because it can be changed into a prime (305810227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16195 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (14597856).

Almost surely, 2305810226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305810226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350348544).

305810226 is an abundant number, since it is smaller than the sum of its proper divisors (394886862).

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

305810226 is a wasteful number, since it uses less digits than its factorization.

305810226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 305810226 is about 17487.4305145153. The cubic root of 305810226 is about 673.7270759087.

Adding to 305810226 its reverse (622018503), we get a palindrome (927828729).

The spelling of 305810226 in words is "three hundred five million, eight hundred ten thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 1271 2542 3813 7626 11439 13367 22878 26734 40101 80202 120303 240606 414377 548047 828754 1096094 1243131 1644141 2486262 3288282 3729393 4932423 7458786 9864846 16989457 33978914 50968371 101936742 152905113 305810226