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226818176 = 2713136309
BaseRepresentation
bin11011000010011…
…11100010000000
3120210210120001012
431201033202000
5431031140201
634301300052
75422631324
oct1541174200
9523716035
10226818176
1110703a942
1263b64628
1337cb6c50
14221a3984
1514da55bb
hexd84f880

226818176 has 32 divisors (see below), whose sum is σ = 486626700. Its totient is φ = 104684544.

The previous prime is 226818169. The next prime is 226818197. The reversal of 226818176 is 671818622.

It can be written as a sum of positive squares in 2 ways, for example, as 184307776 + 42510400 = 13576^2 + 6520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66491 + ... + 69818.

Almost surely, 2226818176 is an apocalyptic number.

226818176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226818176 is an abundant number, since it is smaller than the sum of its proper divisors (259808524).

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

226818176 is a wasteful number, since it uses less digits than its factorization.

226818176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136336 (or 136324 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 226818176 is about 15060.4839231679. The cubic root of 226818176 is about 609.8541046768.

The spelling of 226818176 in words is "two hundred twenty-six million, eight hundred eighteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 136309 272618 545236 1090472 1772017 2180944 3544034 4361888 7088068 8723776 14176136 17447552 28352272 56704544 113409088 226818176