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226135305 = 325113712347
BaseRepresentation
bin11010111101010…
…00110100001001
3120202111212022200
431132220310021
5430342312210
634234510413
75414055414
oct1536506411
9522455280
10226135305
11106713890
1263895409
1337b08196
1422066b7b
1514cbd0c0
hexd7a8d09

226135305 has 48 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 106669440.

The previous prime is 226135303. The next prime is 226135307. The reversal of 226135305 is 503531622.

226135305 is a `hidden beast` number, since 226 + 135 + 305 = 666.

226135305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226135303) and next prime (226135307).

It is not a de Polignac number, because 226135305 - 21 = 226135303 is a prime.

It is a super-2 number, since 2×2261353052 = 102274352334886050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226135303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12142 + ... + 24488.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2226135305 is an apocalyptic number.

It is an amenable number.

226135305 is a deficient number, since it is larger than the sum of its proper divisors (213058359).

226135305 is a wasteful number, since it uses less digits than its factorization.

226135305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12406 (or 12403 counting only the distinct ones).

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

The square root of 226135305 is about 15037.7958823758. The cubic root of 226135305 is about 609.2414695981.

Adding to 226135305 its reverse (503531622), we get a palindrome (729666927).

It can be divided in two parts, 226 and 135305, that added together give a palindrome (135531).

The spelling of 226135305 in words is "two hundred twenty-six million, one hundred thirty-five thousand, three hundred five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 6105 12347 18315 37041 61735 111123 135817 185205 407451 456839 555615 679085 1222353 1370517 2037255 2284195 4111551 5025229 6111765 6852585 15075687 20557755 25126145 45227061 75378435 226135305