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2256606 = 2331129131
BaseRepresentation
bin1000100110111011011110
311020122111000
420212323132
51034202411
6120211130
725116012
oct10467336
94218430
102256606
111301470
12909aa6
13610191
1442a542
152e8956
hex226ede

2256606 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 655200.

The previous prime is 2256601. The next prime is 2256613. The reversal of 2256606 is 6066522.

2256606 is a `hidden beast` number, since 2 + 2 + 56 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2256606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17161 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22256606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2256606 is an abundant number, since it is smaller than the sum of its proper divisors (3445794).

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

2256606 is a wasteful number, since it uses less digits than its factorization.

2256606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2256606 is about 1502.2003861003. The cubic root of 2256606 is about 131.1651860212.

The spelling of 2256606 in words is "two million, two hundred fifty-six thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 131 174 198 261 262 297 319 393 522 594 638 783 786 957 1179 1441 1566 1914 2358 2871 2882 3537 3799 4323 5742 7074 7598 8613 8646 11397 12969 17226 22794 25938 34191 38907 41789 68382 77814 83578 102573 125367 205146 250734 376101 752202 1128303 2256606