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2256282 = 233747127
BaseRepresentation
bin1000100110110110011010
311020122001000
420212312122
51034200112
6120205430
725115040
oct10466632
94218030
102256282
1113011a6
12909876
1360cca2
1442a390
152e87dc
hex226d9a

2256282 has 64 divisors (see below), whose sum is σ = 5898240. Its totient is φ = 625968.

The previous prime is 2256281. The next prime is 2256299. The reversal of 2256282 is 2826522.

2256282 is a `hidden beast` number, since 22 + 562 + 82 = 666.

2256282 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 (27).

Its product of digits (3840) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (2256281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17703 + ... + 17829.

It is an arithmetic number, because the mean of its divisors is an integer number (92160).

22256282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949120).

2256282 is an abundant number, since it is smaller than the sum of its proper divisors (3641958).

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

2256282 is a wasteful number, since it uses less digits than its factorization.

2256282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2256282 is about 1502.0925404249. The cubic root of 2256282 is about 131.1589082225.

The spelling of 2256282 in words is "two million, two hundred fifty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 127 141 189 254 282 329 378 381 423 658 762 846 889 987 1143 1269 1778 1974 2286 2538 2667 2961 3429 5334 5922 5969 6858 8001 8883 11938 16002 17766 17907 24003 35814 41783 48006 53721 83566 107442 125349 161163 250698 322326 376047 752094 1128141 2256282