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2296008 = 23321113223
BaseRepresentation
bin1000110000100011001000
311022122112100
420300203020
51041433013
6121113400
725341621
oct10604310
94278470
102296008
111329030
12928860
136250b0
1443aa48
15305473
hex2308c8

2296008 has 96 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 639360.

The previous prime is 2296001. The next prime is 2296009. The reversal of 2296008 is 8006922.

It is not an unprimeable number, because it can be changed into a prime (2296001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10185 + ... + 10407.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

22296008 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 2296008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2296008 is an abundant number, since it is smaller than the sum of its proper divisors (5042232).

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

2296008 is a wasteful number, since it uses less digits than its factorization.

2296008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2296008 is about 1515.2583938062. The cubic root of 2296008 is about 131.9241989037.

The spelling of 2296008 in words is "two million, two hundred ninety-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 223 234 264 286 312 396 429 446 468 572 669 792 858 892 936 1144 1287 1338 1716 1784 2007 2453 2574 2676 2899 3432 4014 4906 5148 5352 5798 7359 8028 8697 9812 10296 11596 14718 16056 17394 19624 22077 23192 26091 29436 31889 34788 44154 52182 58872 63778 69576 88308 95667 104364 127556 176616 191334 208728 255112 287001 382668 574002 765336 1148004 2296008