Search a number
-
+
200131180 = 22519253523
BaseRepresentation
bin10111110110111…
…00001001101100
3111221120201100221
423323130021230
5402213144210
631505301124
74650041554
oct1373341154
9457521327
10200131180
11a2a72577
12570347a4
1332601c22
141c818164
15128831da
hexbedc26c

200131180 has 72 divisors (see below), whose sum is σ = 452792592. Its totient is φ = 74265984.

The previous prime is 200131171. The next prime is 200131181. The reversal of 200131180 is 81131002.

It is not an unprimeable number, because it can be changed into a prime (200131181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382399 + ... + 382921.

It is an arithmetic number, because the mean of its divisors is an integer number (6288786).

Almost surely, 2200131180 is an apocalyptic number.

200131180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226396296).

200131180 is an abundant number, since it is smaller than the sum of its proper divisors (252661412).

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

200131180 is a wasteful number, since it uses less digits than its factorization.

200131180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 200131180 is about 14146.7727768562. The cubic root of 200131180 is about 584.9313772478.

Adding to 200131180 its reverse (81131002), we get a palindrome (281262182).

The spelling of 200131180 in words is "two hundred million, one hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 361 380 523 530 722 1007 1046 1060 1444 1805 2014 2092 2615 3610 4028 5035 5230 7220 9937 10070 10460 19133 19874 20140 27719 38266 39748 49685 55438 76532 95665 99370 110876 138595 188803 191330 198740 277190 377606 382660 526661 554380 755212 944015 1053322 1888030 2106644 2633305 3776060 5266610 10006559 10533220 20013118 40026236 50032795 100065590 200131180