Search a number
-
+
215432121234 = 231121671819817
BaseRepresentation
bin1100100010100011000…
…0010100101110010010
3202121001211112200002010
43020220300110232102
512012201110334414
6242545042003350
721364415550051
oct3105060245622
9677054480063
10215432121234
11834008a8300
1235903946556
1317413545165
14a5d986c398
15590d194959
hex3228c14b92

215432121234 has 96 divisors (see below), whose sum is σ = 479111488128. Its totient is φ = 64526457600.

The previous prime is 215432121227. The next prime is 215432121251. The reversal of 215432121234 is 432121234512.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21939894 + ... + 21949710.

It is an arithmetic number, because the mean of its divisors is an integer number (4990744668).

Almost surely, 2215432121234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215432121234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239555744064).

215432121234 is an abundant number, since it is smaller than the sum of its proper divisors (263679366894).

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

215432121234 is a wasteful number, since it uses less digits than its factorization.

215432121234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10181 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 215432121234 its reverse (432121234512), we get a palindrome (647553355746).

The spelling of 215432121234 in words is "two hundred fifteen billion, four hundred thirty-two million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 167 181 242 334 362 363 501 543 726 1002 1086 1837 1991 3674 3982 5511 5973 9817 11022 11946 19634 20207 21901 29451 30227 40414 43802 58902 60454 60621 65703 90681 107987 121242 131406 181362 215974 323961 332497 647922 664994 997491 1187857 1639439 1776877 1994982 2375714 3278878 3553754 3563571 3657467 4918317 5330631 7127142 7314934 9836634 10661262 10972401 18033829 19545647 21944802 36067658 39091294 54101487 58636941 108202974 117273882 198372119 215002117 296738459 396744238 430004234 593476918 595116357 645006351 890215377 1190232714 1290012702 1780430754 3264123049 6528246098 9792369147 19584738294 35905353539 71810707078 107716060617 215432121234