Search a number
-
+
226657843230 = 2357213219311549
BaseRepresentation
bin1101001100010111011…
…1000011100000011110
3210200001011201102200110
43103011313003200132
512203143401440410
6252043012110450
722242535610400
oct3230567034036
9720034642613
10226657843230
11881414973a5
1237b17305426
13184b2161800
14ad826d8b70
155d6896e720
hex34c5dc381e

226657843230 has 576 divisors, whose sum is σ = 745023744000. Its totient is φ = 43815582720.

The previous prime is 226657843183. The next prime is 226657843231. The reversal of 226657843230 is 32348756622.

226657843230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226657843230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226657843231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 146324496 + ... + 146326044.

It is an arithmetic number, because the mean of its divisors is an integer number (1293444000).

Almost surely, 2226657843230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226657843230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372511872000).

226657843230 is an abundant number, since it is smaller than the sum of its proper divisors (518365900770).

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

226657843230 is a wasteful number, since it uses less digits than its factorization.

226657843230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 226657843230 in words is "two hundred twenty-six billion, six hundred fifty-seven million, eight hundred forty-three thousand, two hundred thirty".