Search a number
-
+
8309224 = 2372114147
BaseRepresentation
bin11111101100100111101000
3120122011010001
4133230213220
54111343344
6454032344
7130425100
oct37544750
916564101
108309224
114765930
1229486b4
13194c101
141164200
15ae1ed4
hex7ec9e8

8309224 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 3091200.

The previous prime is 8309173. The next prime is 8309227. The reversal of 8309224 is 4229038.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8309192 and 8309201.

It is not an unprimeable number, because it can be changed into a prime (8309227) 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, 176769 + ... + 176815.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 28309224 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 8309224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

8309224 is an abundant number, since it is smaller than the sum of its proper divisors (12374936).

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

8309224 is a wasteful number, since it uses less digits than its factorization.

8309224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8309224 is about 2882.5724622288. The cubic root of 8309224 is about 202.5443605502.

The spelling of 8309224 in words is "eight million, three hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 47 49 56 77 82 88 94 98 154 164 188 196 287 308 328 329 376 392 451 517 539 574 616 658 902 1034 1078 1148 1316 1804 1927 2009 2068 2156 2296 2303 2632 3157 3608 3619 3854 4018 4136 4312 4606 6314 7238 7708 8036 9212 12628 13489 14476 15416 16072 18424 21197 22099 25256 25333 26978 28952 42394 44198 50666 53956 84788 88396 94423 101332 107912 148379 169576 176792 188846 202664 296758 377692 593516 755384 1038653 1187032 2077306 4154612 8309224