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138786228 = 223272292713
BaseRepresentation
bin10000100010110…
…11010110110100
3100200011001220200
420101123112310
5241012124403
621434400500
73303443400
oct1021332664
9320131820
10138786228
1171383169
123a590130
13229a3a39
141460a100
15c2b6ca3
hex845b5b4

138786228 has 108 divisors (see below), whose sum is σ = 422325540. Its totient is φ = 38271744.

The previous prime is 138786191. The next prime is 138786233. The reversal of 138786228 is 822687831.

138786228 is a `hidden beast` number, since 13 + 8 + 7 + 8 + 622 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 24980004 = 10668^2 + 4998^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 49800 + ... + 52512.

Almost surely, 2138786228 is an apocalyptic number.

138786228 is a gapful number since it is divisible by the number (18) 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 138786228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211162770).

138786228 is an abundant number, since it is smaller than the sum of its proper divisors (283539312).

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

138786228 is a wasteful number, since it uses less digits than its factorization.

138786228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2754 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 138786228 is about 11780.7566819793. The cubic root of 138786228 is about 517.7444563743.

The spelling of 138786228 in words is "one hundred thirty-eight million, seven hundred eighty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2713 2842 3654 4263 5426 5684 7308 8139 8526 10852 12789 16278 17052 18991 24417 25578 32556 37982 48834 51156 56973 75964 78677 97668 113946 132937 157354 170919 227892 236031 265874 314708 341838 398811 472062 531748 550739 683676 708093 797622 944124 1101478 1196433 1416186 1595244 1652217 2202956 2392866 2832372 3304434 3855173 4785732 4956651 6608868 7710346 9913302 11565519 15420692 19826604 23131038 34696557 46262076 69393114 138786228