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8229012 = 22311312011
BaseRepresentation
bin11111011001000010010100
3120111002002020
4133121002110
54101312022
6452213140
7126642201
oct37310224
916432066
108229012
114710640
12290a1b0
13192174c
141142ca8
15ac835c
hex7d9094

8229012 has 48 divisors (see below), whose sum is σ = 21633024. Its totient is φ = 2412000.

The previous prime is 8228993. The next prime is 8229017. The reversal of 8229012 is 2109228.

8229012 = 442 + 452 + ... + 2912.

It is a super-2 number, since 2×82290122 = 135433276992288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8229017) 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 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (450688).

Almost surely, 28229012 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 8229012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816512).

8229012 is an abundant number, since it is smaller than the sum of its proper divisors (13404012).

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

8229012 is a wasteful number, since it uses less digits than its factorization.

8229012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8229012 is about 2868.6254548128. The cubic root of 8229012 is about 201.8905069449.

The spelling of 8229012 in words is "eight million, two hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2011 2046 4022 4092 6033 8044 12066 22121 24132 44242 62341 66363 88484 124682 132726 187023 249364 265452 374046 685751 748092 1371502 2057253 2743004 4114506 8229012