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8220084 = 22319311163
BaseRepresentation
bin11111010110110110110100
3120110121211120
4133112312310
54101020314
6452103540
7126604155
oct37266664
916417746
108220084
114704964
122904bb0
13191a672
14113d92c
15ac58a9
hex7d6db4

8220084 has 48 divisors (see below), whose sum is σ = 20858880. Its totient is φ = 2509920.

The previous prime is 8220013. The next prime is 8220089. The reversal of 8220084 is 4800228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6487 + ... + 7649.

It is an arithmetic number, because the mean of its divisors is an integer number (434560).

Almost surely, 28220084 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 8220084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429440).

8220084 is an abundant number, since it is smaller than the sum of its proper divisors (12638796).

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

8220084 is a wasteful number, since it uses less digits than its factorization.

8220084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8220084 is about 2867.0688865111. The cubic root of 8220084 is about 201.8174673666.

The spelling of 8220084 in words is "eight million, two hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1163 1178 1767 2326 2356 3489 3534 4652 6978 7068 13956 22097 36053 44194 66291 72106 88388 108159 132582 144212 216318 265164 432636 685007 1370014 2055021 2740028 4110042 8220084