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2285640 = 233257907
BaseRepresentation
bin1000101110000001001000
311022010022100
420232001020
51041120030
6120553400
725266450
oct10560110
94263270
102285640
111321265
12922860
13620466
14436d60
15302360
hex22e048

2285640 has 96 divisors (see below), whose sum is σ = 8498880. Its totient is φ = 521856.

The previous prime is 2285639. The next prime is 2285641. The reversal of 2285640 is 465822.

It is an interprime number because it is at equal distance from previous prime (2285639) and next prime (2285641).

It is not an unprimeable number, because it can be changed into a prime (2285641) 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 23 ways as a sum of consecutive naturals, for example, 2067 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (88530).

22285640 is an apocalyptic number.

2285640 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 2285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249440).

2285640 is an abundant number, since it is smaller than the sum of its proper divisors (6213240).

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

2285640 is a wasteful number, since it uses less digits than its factorization.

2285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2285640 is about 1511.8333241465. The cubic root of 2285640 is about 131.7253241464.

The spelling of 2285640 in words is "two million, two hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 907 1260 1814 2520 2721 3628 4535 5442 6349 7256 8163 9070 10884 12698 13605 16326 18140 19047 21768 25396 27210 31745 32652 36280 38094 40815 50792 54420 57141 63490 65304 76188 81630 95235 108840 114282 126980 152376 163260 190470 228564 253960 285705 326520 380940 457128 571410 761880 1142820 2285640