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2287320 = 233572389
BaseRepresentation
bin1000101110011011011000
311022012121120
420232123120
51041143240
6121005240
725304400
oct10563330
94265546
102287320
111322552
12923820
13621159
14437800
15302ad0
hex22e6d8

2287320 has 96 divisors (see below), whose sum is σ = 8002800. Its totient is φ = 521472.

The previous prime is 2287319. The next prime is 2287343. The reversal of 2287320 is 237822.

2287320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 25 + 217 + 8 + 7 + 310 + 221 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5686 + ... + 6074.

22287320 is an apocalyptic number.

2287320 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 2287320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001400).

2287320 is an abundant number, since it is smaller than the sum of its proper divisors (5715480).

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

2287320 is a wasteful number, since it uses less digits than its factorization.

2287320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2287320 is about 1512.3888388903. The cubic root of 2287320 is about 131.7575899956.

The spelling of 2287320 in words is "two million, two hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 389 392 420 490 588 735 778 840 980 1167 1176 1470 1556 1945 1960 2334 2723 2940 3112 3890 4668 5446 5835 5880 7780 8169 9336 10892 11670 13615 15560 16338 19061 21784 23340 27230 32676 38122 40845 46680 54460 57183 65352 76244 81690 95305 108920 114366 152488 163380 190610 228732 285915 326760 381220 457464 571830 762440 1143660 2287320