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8228080 = 245722099
BaseRepresentation
bin11111011000110011110000
3120111000210201
4133120303300
54101244310
6452204544
7126636400
oct37306360
916430721
108228080
11470a973
122909754
1319211b3
141142800
15ac7e3a
hex7d8cf0

8228080 has 60 divisors (see below), whose sum is σ = 22264200. Its totient is φ = 2819712.

The previous prime is 8228071. The next prime is 8228111. The reversal of 8228080 is 808228.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2871 + ... + 4969.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 28228080 is an apocalyptic number.

8228080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132100).

8228080 is an abundant number, since it is smaller than the sum of its proper divisors (14036120).

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

8228080 is a wasteful number, since it uses less digits than its factorization.

8228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8228080 is about 2868.4630030732. The cubic root of 8228080 is about 201.8828847639.

The spelling of 8228080 in words is "eight million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 2099 3920 4198 8396 10495 14693 16792 20990 29386 33584 41980 58772 73465 83960 102851 117544 146930 167920 205702 235088 293860 411404 514255 587720 822808 1028510 1175440 1645616 2057020 4114040 8228080