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228744208 = 24711216879
BaseRepresentation
bin11011010001001…
…01110000010000
3120221102102001201
431220211300100
5432024303313
634410440544
75445202510
oct1550456020
9527372051
10228744208
11108135a00
1264733154
133850c804
1422545840
15151360dd
hexda25c10

228744208 has 60 divisors (see below), whose sum is σ = 556769920. Its totient is φ = 89115840.

The previous prime is 228744203. The next prime is 228744227. The reversal of 228744208 is 802447822.

228744208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228744203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5113 + ... + 21991.

Almost surely, 2228744208 is an apocalyptic number.

228744208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228744208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278384960).

228744208 is an abundant number, since it is smaller than the sum of its proper divisors (328025712).

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

228744208 is a wasteful number, since it uses less digits than its factorization.

228744208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16916 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 228744208 is about 15124.2919834285. The cubic root of 228744208 is about 611.5754385182.

The spelling of 228744208 in words is "two hundred twenty-eight million, seven hundred forty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 13552 16879 33758 67516 118153 135032 185669 236306 270064 371338 472612 742676 945224 1299683 1485352 1890448 2042359 2599366 2970704 4084718 5198732 8169436 10397464 14296513 16338872 20794928 28593026 32677744 57186052 114372104 228744208