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2282940 = 22325111153
BaseRepresentation
bin1000101101010110111100
311021222121100
420231112330
51041023230
6120533100
725255542
oct10552674
94258540
102282940
11131a230
12921190
1361c16a
14435d92
15301660
hex22d5bc

2282940 has 72 divisors (see below), whose sum is σ = 7561008. Its totient is φ = 552960.

The previous prime is 2282923. The next prime is 2282941. The reversal of 2282940 is 492822.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (105014).

22282940 is an apocalyptic number.

2282940 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 2282940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780504).

2282940 is an abundant number, since it is smaller than the sum of its proper divisors (5278068).

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

2282940 is a wasteful number, since it uses less digits than its factorization.

2282940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2282940 is about 1510.9401047030. The cubic root of 2282940 is about 131.6734351770.

The spelling of 2282940 in words is "two million, two hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1153 1980 2306 3459 4612 5765 6918 10377 11530 12683 13836 17295 20754 23060 25366 34590 38049 41508 50732 51885 63415 69180 76098 103770 114147 126830 152196 190245 207540 228294 253660 380490 456588 570735 760980 1141470 2282940