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2282896 = 2471117109
BaseRepresentation
bin1000101101010110010000
311021222112201
420231112100
51041023041
6120532544
725255450
oct10552620
94258481
102282896
11131a1a0
12921154
1361c135
14435d60
15301631
hex22d590

2282896 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 829440.

The previous prime is 2282867. The next prime is 2282897. The reversal of 2282896 is 6982822.

It is a super-2 number, since 2×22828962 = 10423228293632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2282897) 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, 20890 + ... + 20998.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

22282896 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 2282896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2282896 is an abundant number, since it is smaller than the sum of its proper divisors (3609584).

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

2282896 is a wasteful number, since it uses less digits than its factorization.

2282896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 2282896 is about 1510.9255441616. The cubic root of 2282896 is about 131.6725892403.

The spelling of 2282896 in words is "two million, two hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 109 112 119 136 154 176 187 218 238 272 308 374 436 476 616 748 763 872 952 1199 1232 1309 1496 1526 1744 1853 1904 2398 2618 2992 3052 3706 4796 5236 6104 7412 8393 9592 10472 12208 12971 14824 16786 19184 20383 20944 25942 29648 33572 40766 51884 67144 81532 103768 134288 142681 163064 207536 285362 326128 570724 1141448 2282896