Search a number
-
+
2243160 = 233353167
BaseRepresentation
bin1000100011101001011000
311012222001000
420203221120
51033240120
6120025000
725031553
oct10435130
94188030
102243160
1112a2357
12902160
1360701a
1442569a
152e4990
hex223a58

2243160 has 128 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 570240.

The previous prime is 2243123. The next prime is 2243161. The reversal of 2243160 is 613422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33447 + ... + 33513.

It is an arithmetic number, because the mean of its divisors is an integer number (61200).

22243160 is an apocalyptic number.

2243160 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 2243160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

2243160 is an abundant number, since it is smaller than the sum of its proper divisors (5590440).

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

2243160 is a wasteful number, since it uses less digits than its factorization.

2243160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2243160 is about 1497.7182645611. The cubic root of 2243160 is about 130.9041506974.

Adding to 2243160 its reverse (613422), we get a palindrome (2856582).

The spelling of 2243160 in words is "two million, two hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 67 72 90 93 108 120 124 134 135 155 180 186 201 216 248 268 270 279 310 335 360 372 402 465 536 540 558 603 620 670 744 804 837 930 1005 1080 1116 1206 1240 1340 1395 1608 1674 1809 1860 2010 2077 2232 2412 2680 2790 3015 3348 3618 3720 4020 4154 4185 4824 5580 6030 6231 6696 7236 8040 8308 8370 9045 10385 11160 12060 12462 14472 16616 16740 18090 18693 20770 24120 24924 31155 33480 36180 37386 41540 49848 56079 62310 72360 74772 83080 93465 112158 124620 149544 186930 224316 249240 280395 373860 448632 560790 747720 1121580 2243160