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226479168 = 263217101229
BaseRepresentation
bin11010111111111…
…00110001000000
3120210011100000100
431133330301000
5430434313133
634250122400
75420020056
oct1537746100
9523140010
10226479168
11106929173
1263a20400
1337bc8856
14221161d6
1514d39e13
hexd7fcc40

226479168 has 168 divisors, whose sum is σ = 697184280. Its totient is φ = 70041600.

The previous prime is 226479167. The next prime is 226479173. The reversal of 226479168 is 861974622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 178703424 + 47775744 = 13368^2 + 6912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226479161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988878 + ... + 989106.

Almost surely, 2226479168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348592140).

226479168 is an abundant number, since it is smaller than the sum of its proper divisors (470705112).

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

226479168 is a wasteful number, since it uses less digits than its factorization.

226479168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 226479168 is about 15049.2248305353. The cubic root of 226479168 is about 609.5501188855.

The spelling of 226479168 in words is "two hundred twenty-six million, four hundred seventy-nine thousand, one hundred sixty-eight".