Search a number
-
+
22230846 = 23211259173
BaseRepresentation
bin101010011001…
…1011100111110
31112211102222200
41110303130332
521142341341
62112252330
7356646651
oct124633476
945742880
1022230846
1111604400
1275410a6
1347b4961
142d49898
151e41db6
hex153373e

22230846 has 72 divisors (see below), whose sum is σ = 54152280. Its totient is φ = 6584160.

The previous prime is 22230841. The next prime is 22230847. The reversal of 22230846 is 64803222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128416 + ... + 128588.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 222230846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076140).

22230846 is an abundant number, since it is smaller than the sum of its proper divisors (31921434).

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

22230846 is a wasteful number, since it uses less digits than its factorization.

22230846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22230846 is about 4714.9598089485. The cubic root of 22230846 is about 281.1805849432.

The spelling of 22230846 in words is "twenty-two million, two hundred thirty thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 121 173 177 198 242 346 354 363 519 531 649 726 1038 1062 1089 1298 1557 1903 1947 2178 3114 3806 3894 5709 5841 7139 10207 11418 11682 14278 17127 20414 20933 21417 30621 34254 41866 42834 61242 62799 64251 91863 112277 125598 128502 183726 188397 224554 336831 376794 673662 1010493 1235047 2020986 2470094 3705141 7410282 11115423 22230846