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2268208 = 241731269
BaseRepresentation
bin1000101001110000110000
311021020101201
420221300300
51040040313
6120340544
725164565
oct10516060
94236351
102268208
11130a158
12914754
13615547
1443086c
152ec0dd
hex229c30

2268208 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 1029120.

The previous prime is 2268199. The next prime is 2268209. The reversal of 2268208 is 8028622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2268209) 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, 8298 + ... + 8566.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22268208 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 2268208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2268208 is an abundant number, since it is smaller than the sum of its proper divisors (2552912).

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

2268208 is a wasteful number, since it uses less digits than its factorization.

2268208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2268208 is about 1506.0571038311. The cubic root of 2268208 is about 131.3895905641.

The spelling of 2268208 in words is "two million, two hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 269 272 496 527 538 1054 1076 2108 2152 4216 4304 4573 8339 8432 9146 16678 18292 33356 36584 66712 73168 133424 141763 283526 567052 1134104 2268208