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226835505 = 33513177603
BaseRepresentation
bin11011000010100…
…11110000110001
3120210211102211000
431201103300301
5431032214010
634301512213
75423033001
oct1541236061
9523742730
10226835505
11107051966
1263b72669
1337cc1ac0
14221aa001
1514daa7c0
hexd853c31

226835505 has 64 divisors (see below), whose sum is σ = 459889920. Its totient is φ = 105090048.

The previous prime is 226835503. The next prime is 226835507. The reversal of 226835505 is 505538622.

It is a happy number.

226835505 is a `hidden beast` number, since 2 + 26 + 83 + 550 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (226835503) and next prime (226835507).

It is not a de Polignac number, because 226835505 - 21 = 226835503 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226835505.

It is not an unprimeable number, because it can be changed into a prime (226835501) 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 63 ways as a sum of consecutive naturals, for example, 26034 + ... + 33636.

It is an arithmetic number, because the mean of its divisors is an integer number (7185780).

Almost surely, 2226835505 is an apocalyptic number.

It is an amenable number.

226835505 is an abundant number, since it is smaller than the sum of its proper divisors (233054415).

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

226835505 is a wasteful number, since it uses less digits than its factorization.

226835505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 226835505 is about 15061.0592256986. The cubic root of 226835505 is about 609.8696353144.

It can be divided in two parts, 2268 and 35505, that added together give a palindrome (37773).

The spelling of 226835505 in words is "two hundred twenty-six million, eight hundred thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 1105 1755 1989 2295 3315 5967 7603 9945 22809 29835 38015 68427 98839 114045 129251 205281 296517 342135 387753 494195 646255 889551 1026405 1163259 1482585 1680263 1938765 2668653 3489777 4447755 5040789 5816295 8401315 13343265 15122367 17448885 25203945 45367101 75611835 226835505