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227050164 = 22321117291163
BaseRepresentation
bin11011000100010…
…00001010110100
3120211020100021100
431202020022310
5431111101124
634310250100
75424615555
oct1542101264
9524210240
10227050164
11107189170
1264056930
1338068713
142222432c
1514dee1c9
hexd8882b4

227050164 has 144 divisors (see below), whose sum is σ = 686387520. Its totient is φ = 62469120.

The previous prime is 227050163. The next prime is 227050189. The reversal of 227050164 is 461050722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227050163) 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 47 ways as a sum of consecutive naturals, for example, 194647 + ... + 195809.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2227050164 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 227050164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343193760).

227050164 is an abundant number, since it is smaller than the sum of its proper divisors (459337356).

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

227050164 is a wasteful number, since it uses less digits than its factorization.

227050164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 227050164 is about 15068.1838321677. The cubic root of 227050164 is about 610.0619519629.

The spelling of 227050164 in words is "two hundred twenty-seven million, fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1163 1276 1479 1683 1914 1972 2244 2326 2871 2958 3366 3489 3828 4437 4652 5423 5742 5916 6732 6978 8874 10467 10846 11484 12793 13956 16269 17748 19771 20934 21692 25586 32538 33727 38379 39542 41868 48807 51172 59313 65076 67454 76758 79084 97614 101181 115137 118626 134908 153516 177939 195228 202362 217481 230274 237252 303543 355878 370997 404724 434962 460548 573359 607086 652443 711756 741994 869924 1112991 1146718 1214172 1304886 1483988 1720077 1957329 2225982 2293436 2609772 3338973 3440154 3914658 4451964 5160231 6306949 6677946 6880308 7829316 10320462 12613898 13355892 18920847 20640924 25227796 37841694 56762541 75683388 113525082 227050164