Search a number
-
+
220032135234 = 236318635641
BaseRepresentation
bin1100110011101011101…
…1111111000001000010
3210000221102021121000000
43030322323333001002
512101111211311414
6245025324140430
721616413201432
oct3147273770102
9700842247000
10220032135234
118535144996a
1236788397716
1317997568932
14a9147702c2
155acbe3bb09
hex333aeff042

220032135234 has 112 divisors (see below), whose sum is σ = 511491262464. Its totient is φ = 70883294400.

The previous prime is 220032135229. The next prime is 220032135241. The reversal of 220032135234 is 432531230022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220032135198 and 220032135207.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 39003054 + ... + 39008694.

It is an arithmetic number, because the mean of its divisors is an integer number (4566886272).

Almost surely, 2220032135234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220032135234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255745631232).

220032135234 is an abundant number, since it is smaller than the sum of its proper divisors (291459127230).

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

220032135234 is an equidigital number, since it uses as much as digits as its factorization.

220032135234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 220032135234 its reverse (432531230022), we get a palindrome (652563365256).

It can be divided in two parts, 2200321 and 35234, that added together give a triangular number (2235555 = T2114).

The spelling of 220032135234 in words is "two hundred twenty billion, thirty-two million, one hundred thirty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 863 1458 1674 1726 2511 2589 5022 5178 5641 7533 7767 11282 15066 15534 16923 22599 23301 26753 33846 45198 46602 50769 53506 69903 80259 101538 139806 152307 160518 174871 209709 240777 304614 349742 419418 456921 481554 524613 629127 722331 913842 1049226 1258254 1370763 1444662 1573839 2166993 2741526 3147678 4112289 4333986 4721517 4868183 6500979 8224578 9443034 9736366 13001958 14164551 14604549 19502937 28329102 29209098 39005874 42493653 43813647 84987306 87627294 127480959 131440941 150913673 254961918 262881882 301827346 394322823 452741019 788645646 905482038 1182968469 1358223057 2365936938 2716446114 3548905407 4074669171 7097810814 8149338342 12224007513 24448015026 36672022539 73344045078 110016067617 220032135234