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8285220 = 2233567229
BaseRepresentation
bin11111100110110000100100
3120120221012000
4133212300210
54110111340
6453325300
7130265106
oct37466044
916527160
108285220
114749899
122936830
1319411c8
141159576
15ad9d30
hex7e6c24

8285220 has 96 divisors (see below), whose sum is σ = 26275200. Its totient is φ = 2166912.

The previous prime is 8285201. The next prime is 8285227. The reversal of 8285220 is 225828.

8285220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (8285227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36066 + ... + 36294.

It is an arithmetic number, because the mean of its divisors is an integer number (273700).

Almost surely, 28285220 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 8285220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137600).

8285220 is an abundant number, since it is smaller than the sum of its proper divisors (17989980).

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

8285220 is a wasteful number, since it uses less digits than its factorization.

8285220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8285220 is about 2878.4058087768. The cubic root of 8285220 is about 202.3491331707.

The spelling of 8285220 in words is "eight million, two hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 229 268 270 335 402 458 540 603 670 687 804 916 1005 1145 1206 1340 1374 1809 2010 2061 2290 2412 2748 3015 3435 3618 4020 4122 4580 6030 6183 6870 7236 8244 9045 10305 12060 12366 13740 15343 18090 20610 24732 30686 30915 36180 41220 46029 61372 61830 76715 92058 123660 138087 153430 184116 230145 276174 306860 414261 460290 552348 690435 828522 920580 1380870 1657044 2071305 2761740 4142610 8285220