Search a number
-
+
7228116 = 223473187
BaseRepresentation
bin11011100100101011010100
3111121020010000
4123210223110
53322244431
6414531300
7115303140
oct33445324
914536100
107228116
114097655
122506b30
131660cbc
14d62220
1597b9e6
hex6e4ad4

7228116 has 60 divisors (see below), whose sum is σ = 21601888. Its totient is φ = 2064528.

The previous prime is 7228093. The next prime is 7228121. The reversal of 7228116 is 6118227.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 7228116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 675 + ... + 3861.

Almost surely, 27228116 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 7228116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800944).

7228116 is an abundant number, since it is smaller than the sum of its proper divisors (14373772).

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

7228116 is a wasteful number, since it uses less digits than its factorization.

7228116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3199 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 7228116 is about 2688.5155755547. The cubic root of 7228116 is about 193.3488995262.

The spelling of 7228116 in words is "seven million, two hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 3187 6374 9561 12748 19122 22309 28683 38244 44618 57366 66927 86049 89236 114732 133854 172098 200781 258147 267708 344196 401562 516294 602343 803124 1032588 1204686 1807029 2409372 3614058 7228116