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8025220 = 2257219431
BaseRepresentation
bin11110100111010010000100
3120002201112101
4132213102010
54023301340
6444001444
7125133100
oct36472204
916081471
108025220
114591515
122830284
13187ca68
1410cc900
15a87c9a
hex7a7484

8025220 has 72 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 2600640.

The previous prime is 8025211. The next prime is 8025233. The reversal of 8025220 is 225208.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18405 + ... + 18835.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 28025220 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 8025220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

8025220 is an abundant number, since it is smaller than the sum of its proper divisors (12658940).

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

8025220 is a wasteful number, since it uses less digits than its factorization.

8025220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8025220 is about 2832.8819248250. The cubic root of 8025220 is about 200.2099462025.

The spelling of 8025220 in words is "eight million, twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 431 490 532 665 862 931 980 1330 1724 1862 2155 2660 3017 3724 4310 4655 6034 8189 8620 9310 12068 15085 16378 18620 21119 30170 32756 40945 42238 57323 60340 81890 84476 105595 114646 163780 211190 229292 286615 401261 422380 573230 802522 1146460 1605044 2006305 4012610 8025220