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2287296 = 263211192
BaseRepresentation
bin1000101110011011000000
311022012120200
420232123000
51041143141
6121005200
725304334
oct10563300
94265520
102287296
111322530
12923800
1362113b
144377c4
15302ab6
hex22e6c0

2287296 has 126 divisors (see below), whose sum is σ = 7548372. Its totient is φ = 656640.

The previous prime is 2287291. The next prime is 2287301. The reversal of 2287296 is 6927822.

It is an interprime number because it is at equal distance from previous prime (2287291) and next prime (2287301).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 212 + 217 + 82 + 77 + 220 + 9 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2287296.

It is not an unprimeable number, because it can be changed into a prime (2287291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120375 + ... + 120393.

22287296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774186).

2287296 is an abundant number, since it is smaller than the sum of its proper divisors (5261076).

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

2287296 is a wasteful number, since it uses less digits than its factorization.

2287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2287296 is about 1512.3809044021. The cubic root of 2287296 is about 131.7571291662.

2287296 divided by its sum of digits (36) gives a palindrome (63536).

The spelling of 2287296 in words is "two million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 64 66 72 76 88 96 99 114 132 144 152 171 176 192 198 209 228 264 288 304 342 352 361 396 418 456 528 576 608 627 684 704 722 792 836 912 1056 1083 1216 1254 1368 1444 1584 1672 1824 1881 2112 2166 2508 2736 2888 3168 3249 3344 3648 3762 3971 4332 5016 5472 5776 6336 6498 6688 7524 7942 8664 10032 10944 11552 11913 12996 13376 15048 15884 17328 20064 23104 23826 25992 30096 31768 34656 35739 40128 47652 51984 60192 63536 69312 71478 95304 103968 120384 127072 142956 190608 207936 254144 285912 381216 571824 762432 1143648 2287296