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8206220 = 2251123391
BaseRepresentation
bin11111010011011110001100
3120102220211002
4133103132030
54100044340
6451515432
7126515561
oct37233614
916386732
108206220
1146a5500
1228b8b78
131914269
141138868
15ac1715
hex7d378c

8206220 has 36 divisors (see below), whose sum is σ = 18947712. Its totient is φ = 2983200.

The previous prime is 8206207. The next prime is 8206229. The reversal of 8206220 is 226028.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8206192 and 8206201.

It is not an unprimeable number, because it can be changed into a prime (8206229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725 + ... + 4115.

Almost surely, 28206220 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 8206220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473856).

8206220 is an abundant number, since it is smaller than the sum of its proper divisors (10741492).

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

8206220 is a wasteful number, since it uses less digits than its factorization.

8206220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8206220 is about 2864.6500658894. The cubic root of 8206220 is about 201.7039416865.

The spelling of 8206220 in words is "eight million, two hundred six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 3391 6782 13564 16955 33910 37301 67820 74602 149204 186505 373010 410311 746020 820622 1641244 2051555 4103110 8206220