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8220016 = 247233191
BaseRepresentation
bin11111010110110101110000
3120110121202001
4133112311300
54101020031
6452103344
7126604030
oct37266560
916417661
108220016
114704902
122904b54
13191a61c
14113d8c0
15ac5861
hex7d6d70

8220016 has 40 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 3368640.

The previous prime is 8220013. The next prime is 8220089. The reversal of 8220016 is 6100228.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8219975 and 8220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 4171.

Almost surely, 28220016 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 8220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

8220016 is an abundant number, since it is smaller than the sum of its proper divisors (10778768).

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

8220016 is a wasteful number, since it uses less digits than its factorization.

8220016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8220016 is about 2867.0570276854. The cubic root of 8220016 is about 201.8169108586.

The spelling of 8220016 in words is "eight million, two hundred twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 3191 6382 12764 22337 25528 44674 51056 73393 89348 146786 178696 293572 357392 513751 587144 1027502 1174288 2055004 4110008 8220016