Search a number
-
+
188211880122 = 237217257146527
BaseRepresentation
bin1010111101001001001…
…1010110000010111010
3122222210210212011000220
42233102103112002322
511040424220130442
6222244025440510
716412031404400
oct2572223260272
9588723764026
10188211880122
1172902777272
1230587940136
1314996041206
149176699470
154d68607eec
hex2bd24d60ba

188211880122 has 96 divisors (see below), whose sum is σ = 465445605888. Its totient is φ = 50414321664.

The previous prime is 188211880111. The next prime is 188211880123. The reversal of 188211880122 is 221088112881.

188211880122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (188211880123) 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 47 ways as a sum of consecutive naturals, for example, 1211223 + ... + 1357749.

It is an arithmetic number, because the mean of its divisors is an integer number (4848391728).

Almost surely, 2188211880122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188211880122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232722802944).

188211880122 is an abundant number, since it is smaller than the sum of its proper divisors (277233725766).

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

188211880122 is a wasteful number, since it uses less digits than its factorization.

188211880122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146820 (or 146813 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 42.

The spelling of 188211880122 in words is "one hundred eighty-eight billion, two hundred eleven million, eight hundred eighty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 257 294 357 514 714 771 833 1542 1666 1799 2499 3598 4369 4998 5397 8738 10794 12593 13107 25186 26214 30583 37779 61166 75558 91749 146527 183498 214081 293054 428162 439581 642243 879162 1025689 1284486 2051378 2490959 3077067 4981918 6154134 7179823 7472877 14359646 14945754 17436713 21539469 34873426 37657439 43078938 52310139 75314878 104620278 112972317 122056991 225944634 244113982 263602073 366170973 527204146 640176463 732341946 790806219 1280352926 1581612438 1845214511 1920529389 3690429022 3841058778 4481235241 5535643533 8962470482 11071287066 13443705723 26887411446 31368646687 62737293374 94105940061 188211880122