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6221124 = 2234713211
BaseRepresentation
bin10111101110110101000100
3102201001210000
4113232311010
53043033444
6341201300
7103610250
oct27566504
912631700
106221124
11356a028
122100230
13139a850
14b7d260
1582d469
hex5eed44

6221124 has 120 divisors (see below), whose sum is σ = 20111168. Its totient is φ = 1632960.

The previous prime is 6221123. The next prime is 6221147. The reversal of 6221124 is 4211226.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6221097 and 6221106.

It is not an unprimeable number, because it can be changed into a prime (6221123) 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 39 ways as a sum of consecutive naturals, for example, 29379 + ... + 29589.

Almost surely, 26221124 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 6221124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055584).

6221124 is an abundant number, since it is smaller than the sum of its proper divisors (13890044).

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

6221124 is a wasteful number, since it uses less digits than its factorization.

6221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 6221124 is about 2494.2181139588. The cubic root of 6221124 is about 183.9174566750.

The spelling of 6221124 in words is "six million, two hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 211 234 252 273 324 351 364 378 422 468 546 567 633 702 756 819 844 1053 1092 1134 1266 1404 1477 1638 1899 2106 2268 2457 2532 2743 2954 3276 3798 4212 4431 4914 5486 5697 5908 7371 7596 8229 8862 9828 10972 11394 13293 14742 16458 17091 17724 19201 22788 24687 26586 29484 32916 34182 38402 39879 49374 53172 57603 68364 74061 76804 79758 98748 115206 119637 148122 159516 172809 222183 230412 239274 296244 345618 444366 478548 518427 691236 888732 1036854 1555281 2073708 3110562 6221124