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2806122 = 2311174161
BaseRepresentation
bin1010101101000101101010
312021120021110
422231011222
51204243442
6140051150
732565054
oct12550552
95246243
102806122
111647310
12b33ab6
13773337
145308d4
153a669c
hex2ad16a

2806122 has 64 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 768000.

The previous prime is 2806121. The next prime is 2806123. The reversal of 2806122 is 2216082.

2806122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2806121) and next prime (2806123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806121) 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, 45972 + ... + 46032.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

22806122 is an apocalyptic number.

2806122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2806122 is an abundant number, since it is smaller than the sum of its proper divisors (3943446).

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

2806122 is a wasteful number, since it uses less digits than its factorization.

2806122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2806122 is about 1675.1483516393. The cubic root of 2806122 is about 141.0486226354.

The spelling of 2806122 in words is "two million, eight hundred six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 61 66 82 102 122 123 183 187 246 366 374 451 561 671 697 902 1037 1122 1342 1353 1394 2013 2074 2091 2501 2706 3111 4026 4182 5002 6222 7503 7667 11407 15006 15334 22814 23001 27511 34221 42517 46002 55022 68442 82533 85034 127551 165066 255102 467687 935374 1403061 2806122