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8124228 = 22327103313
BaseRepresentation
bin11110111111011101000100
3120021202100100
4132333131010
54034433403
6450044100
7126024540
oct36773504
916252310
108124228
114649942
122879630
1318b5b48
141116a20
15aa72a3
hex7bf744

8124228 has 72 divisors (see below), whose sum is σ = 23773568. Its totient is φ = 2291328.

The previous prime is 8124223. The next prime is 8124239. The reversal of 8124228 is 8224218.

It is not an unprimeable number, because it can be changed into a prime (8124223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25800 + ... + 26112.

Almost surely, 28124228 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 8124228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886784).

8124228 is an abundant number, since it is smaller than the sum of its proper divisors (15649340).

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

8124228 is a wasteful number, since it uses less digits than its factorization.

8124228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8124228 is about 2850.3031417728. The cubic root of 8124228 is about 201.0299205477.

The spelling of 8124228 in words is "eight million, one hundred twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 313 412 618 626 721 927 939 1236 1252 1442 1854 1878 2163 2191 2817 2884 3708 3756 4326 4382 5634 6489 6573 8652 8764 11268 12978 13146 19719 25956 26292 32239 39438 64478 78876 96717 128956 193434 225673 290151 386868 451346 580302 677019 902692 1160604 1354038 2031057 2708076 4062114 8124228