Search a number
-
+
2286160 = 24517412
BaseRepresentation
bin1000101110001001010000
311022011000121
420232021100
51041124120
6121000024
725301122
oct10561120
94264017
102286160
111321698
12923014
13620776
14437212
153025aa
hex22e250

2286160 has 60 divisors (see below), whose sum is σ = 5768604. Its totient is φ = 839680.

The previous prime is 2286149. The next prime is 2286169. The reversal of 2286160 is 616822.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 1784896 = 708^2 + 1336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55740 + ... + 55780.

22286160 is an apocalyptic number.

2286160 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 2286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884302).

2286160 is an abundant number, since it is smaller than the sum of its proper divisors (3482444).

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

2286160 is a wasteful number, since it uses less digits than its factorization.

2286160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2286160 is about 1512.0052909960. The cubic root of 2286160 is about 131.7353128840.

The spelling of 2286160 in words is "two million, two hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 1681 2788 3280 3362 3485 5576 6724 6970 8405 11152 13448 13940 16810 26896 27880 28577 33620 55760 57154 67240 114308 134480 142885 228616 285770 457232 571540 1143080 2286160