Search a number
-
+
229040658 = 232711283181
BaseRepresentation
bin11011010011011…
…10001000010010
3120221222110201100
431221232020102
5432113300113
634421045230
75450546010
oct1551561022
9527873640
10229040658
11108318700
1264856816
13385b4722
14225c18b0
1515193d73
hexda6e212

229040658 has 144 divisors (see below), whose sum is σ = 634390848. Its totient is φ = 58449600.

The previous prime is 229040657. The next prime is 229040659. The reversal of 229040658 is 856040922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (229040657) and next prime (229040659).

It is not an unprimeable number, because it can be changed into a prime (229040653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1265328 + ... + 1265508.

It is an arithmetic number, because the mean of its divisors is an integer number (4405492).

Almost surely, 2229040658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229040658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317195424).

229040658 is an abundant number, since it is smaller than the sum of its proper divisors (405350190).

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

229040658 is a wasteful number, since it uses less digits than its factorization.

229040658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 229040658 is about 15134.0892689319. The cubic root of 229040658 is about 611.8395228347.

The spelling of 229040658 in words is "two hundred twenty-nine million, forty thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 83 99 121 126 154 166 181 198 231 242 249 362 363 462 498 543 581 693 726 747 847 913 1086 1089 1162 1267 1386 1494 1629 1694 1743 1826 1991 2178 2534 2541 2739 3258 3486 3801 3982 5082 5229 5478 5973 6391 7602 7623 8217 10043 10458 11403 11946 12782 13937 15023 15246 16434 17919 19173 20086 21901 22806 27874 30046 30129 35838 38346 41811 43802 45069 57519 60258 65703 70301 83622 90138 90387 105161 115038 125433 131406 135207 140602 153307 165253 180774 197109 210322 210903 250866 270414 306614 315483 330506 394218 421806 459921 495759 630966 632709 919842 946449 991518 1156771 1265418 1379763 1487277 1817783 1892898 2313542 2759526 2974554 3470313 3635566 5453349 6940626 10410939 10906698 12724481 16360047 20821878 25448962 32720094 38173443 76346886 114520329 229040658