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305135226 = 232113741651
BaseRepresentation
bin10010001011111…
…111111001111010
3210021011110211200
4102023333321322
51111103311401
650140035030
710363415034
oct2213777172
9707143750
10305135226
11147271680
1286232a76
134b2a82b6
142c74cc54
151bbc5686
hex122ffe7a

305135226 has 48 divisors (see below), whose sum is σ = 740739168. Its totient is φ = 89964000.

The previous prime is 305135221. The next prime is 305135279. The reversal of 305135226 is 622531503.

305135226 is a `hidden beast` number, since 305 + 1 + 352 + 2 + 6 = 666.

It is a super-3 number, since 3×3051352263 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 305135226.

It is not an unprimeable number, because it can be changed into a prime (305135221) 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 23 ways as a sum of consecutive naturals, for example, 13500 + ... + 28151.

It is an arithmetic number, because the mean of its divisors is an integer number (15432066).

Almost surely, 2305135226 is an apocalyptic number.

305135226 is an abundant number, since it is smaller than the sum of its proper divisors (435603942).

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

305135226 is a wasteful number, since it uses less digits than its factorization.

305135226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41707 (or 41704 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 305135226 is about 17468.1202766640. The cubic root of 305135226 is about 673.2310157788.

Adding to 305135226 its reverse (622531503), we get a palindrome (927666729).

It can be divided in two parts, 305 and 135226, that added together give a palindrome (135531).

The spelling of 305135226 in words is "three hundred five million, one hundred thirty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 41651 83302 124953 249906 374859 458161 749718 916322 1374483 1541087 2748966 3082174 4123449 4623261 8246898 9246522 13869783 16951957 27739566 33903914 50855871 101711742 152567613 305135226