Search a number
-
+
213313170 = 23572312151
BaseRepresentation
bin11001011011011…
…10011010010010
3112212101102122210
430231232122102
5414102010140
633100012550
75200063200
oct1455563222
9485342583
10213313170
11aa456384
125b531156
1335268c15
142048a070
1513ad8d80
hexcb6e692

213313170 has 144 divisors (see below), whose sum is σ = 619441344. Its totient is φ = 46872000.

The previous prime is 213313147. The next prime is 213313187. The reversal of 213313170 is 71313312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1412595 + ... + 1412745.

It is an arithmetic number, because the mean of its divisors is an integer number (4301676).

Almost surely, 2213313170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309720672).

213313170 is an abundant number, since it is smaller than the sum of its proper divisors (406128174).

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

213313170 is a wasteful number, since it uses less digits than its factorization.

213313170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 213313170 is about 14605.2446059626. The cubic root of 213313170 is about 597.5018072691.

Adding to 213313170 its reverse (71313312), we get a palindrome (284626482).

The spelling of 213313170 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 151 155 186 210 217 245 294 302 310 434 453 465 490 651 735 755 906 930 961 1057 1085 1302 1470 1510 1519 1922 2114 2170 2265 2883 3038 3171 3255 4530 4557 4681 4805 5285 5766 6342 6510 6727 7399 7595 9114 9362 9610 10570 13454 14043 14415 14798 15190 15855 20181 22197 22785 23405 28086 28830 31710 32767 33635 36995 40362 44394 45570 46810 47089 65534 67270 70215 73990 94178 98301 100905 110985 140430 141267 145111 163835 196602 201810 221970 229369 235445 282534 290222 327670 435333 458738 470890 491505 688107 706335 725555 870666 983010 1015777 1146845 1376214 1412670 1451110 2031554 2176665 2293690 3047331 3440535 4353330 5078885 6094662 6881070 7110439 10157770 14220878 15236655 21331317 30473310 35552195 42662634 71104390 106656585 213313170