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2282840 = 235731263
BaseRepresentation
bin1000101101010101011000
311021222110122
420231111120
51041022330
6120532412
725255340
oct10552530
94258418
102282840
11131a14a
12921108
1361c0c1
14435d20
153015e5
hex22d558

2282840 has 64 divisors (see below), whose sum is σ = 6082560. Its totient is φ = 754560.

The previous prime is 2282807. The next prime is 2282849. The reversal of 2282840 is 482822.

It is a super-2 number, since 2×22828402 = 10422716931200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282849) 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, 8549 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

22282840 is an apocalyptic number.

2282840 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 2282840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041280).

2282840 is an abundant number, since it is smaller than the sum of its proper divisors (3799720).

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

2282840 is a wasteful number, since it uses less digits than its factorization.

2282840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2282840 is about 1510.9070123605. The cubic root of 2282840 is about 131.6715125778.

The spelling of 2282840 in words is "two million, two hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 263 280 310 434 526 620 868 1052 1085 1240 1315 1736 1841 2104 2170 2630 3682 4340 5260 7364 8153 8680 9205 10520 14728 16306 18410 32612 36820 40765 57071 65224 73640 81530 114142 163060 228284 285355 326120 456568 570710 1141420 2282840