Search a number
-
+
2182180 = 22571113109
BaseRepresentation
bin1000010100110000100100
311002212101111
420110300210
51024312210
6114434404
724356020
oct10246044
94085344
102182180
111260560
12892a04
135b5340
1440b380
152d188a
hex214c24

2182180 has 96 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 622080.

The previous prime is 2182177. The next prime is 2182181. The reversal of 2182180 is 812812.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19966 + ... + 20074.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

22182180 is an apocalyptic number.

2182180 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 2182180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2182180 is an abundant number, since it is smaller than the sum of its proper divisors (4027100).

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

2182180 is a wasteful number, since it uses less digits than its factorization.

2182180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 2182180 is about 1477.2203627083. The cubic root of 2182180 is about 129.7070325736.

Adding to 2182180 its reverse (812812), we get a palindrome (2994992).

The spelling of 2182180 in words is "two million, one hundred eighty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 109 110 130 140 143 154 182 218 220 260 286 308 364 385 436 455 545 572 715 763 770 910 1001 1090 1199 1417 1430 1526 1540 1820 2002 2180 2398 2834 2860 3052 3815 4004 4796 5005 5668 5995 7085 7630 8393 9919 10010 11990 14170 15260 15587 16786 19838 20020 23980 28340 31174 33572 39676 41965 49595 62348 77935 83930 99190 109109 155870 167860 198380 218218 311740 436436 545545 1091090 2182180