Search a number
-
+
2282040 = 233352113
BaseRepresentation
bin1000101101001000111000
311021221101000
420231020320
51041011130
6120525000
725253115
oct10551070
94257330
102282040
111319592
12920760
1361b927
1443590c
15301260
hex22d238

2282040 has 64 divisors (see below), whose sum is σ = 7610400. Its totient is φ = 608256.

The previous prime is 2282023. The next prime is 2282041. The reversal of 2282040 is 402822.

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 (2282041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24 + ... + 2136.

22282040 is an apocalyptic number.

2282040 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 2282040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805200).

2282040 is an abundant number, since it is smaller than the sum of its proper divisors (5328360).

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

2282040 is a wasteful number, since it uses less digits than its factorization.

2282040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2282040 is about 1510.6422475226. The cubic root of 2282040 is about 131.6561297626.

Adding to 2282040 its reverse (402822), we get a palindrome (2684862).

The spelling of 2282040 in words is "two million, two hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2113 4226 6339 8452 10565 12678 16904 19017 21130 25356 31695 38034 42260 50712 57051 63390 76068 84520 95085 114102 126780 152136 190170 228204 253560 285255 380340 456408 570510 760680 1141020 2282040