Search a number
-
+
206339224 = 237133141223
BaseRepresentation
bin11000100110001…
…11110010011000
3112101021010012111
430103013302120
5410310323344
632250322104
75053566040
oct1423076230
9471233174
10206339224
11a6522793
1259129334
1333996820
141d592720
15131ac834
hexc4c7c98

206339224 has 128 divisors (see below), whose sum is σ = 505774080. Its totient is φ = 76723200.

The previous prime is 206339213. The next prime is 206339227. The reversal of 206339224 is 422933602.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206339227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 925177 + ... + 925399.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2206339224 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 206339224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887040).

206339224 is an abundant number, since it is smaller than the sum of its proper divisors (299434856).

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

206339224 is a wasteful number, since it uses less digits than its factorization.

206339224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 206339224 is about 14364.5126614167. The cubic root of 206339224 is about 590.9180612904.

The spelling of 206339224 in words is "two hundred six million, three hundred thirty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 41 52 56 62 82 91 104 124 164 182 217 223 248 287 328 364 403 434 446 533 574 728 806 868 892 1066 1148 1271 1561 1612 1736 1784 2132 2296 2542 2821 2899 3122 3224 3731 4264 5084 5642 5798 6244 6913 7462 8897 9143 10168 11284 11596 12488 13826 14924 16523 17794 18286 20293 22568 23192 27652 29848 33046 35588 36572 40586 48391 55304 64001 66092 71176 73144 81172 89869 96782 115661 118859 128002 132184 162344 179738 193564 231322 237718 256004 283433 359476 387128 462644 475436 512008 566866 629083 718952 832013 925288 950872 1133732 1258166 1664026 1984031 2267464 2516332 3328052 3684629 3968062 5032664 6656104 7369258 7936124 14738516 15872248 25792403 29477032 51584806 103169612 206339224