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2225584 = 24197321
BaseRepresentation
bin1000011111010110110000
311012001221001
420133112300
51032204314
6115411344
724626404
oct10372660
94161831
102225584
111290129
128b3b54
135cc01a
1441d104
152de674
hex21f5b0

2225584 has 20 divisors (see below), whose sum is σ = 4539640. Its totient is φ = 1054080.

The previous prime is 2225581. The next prime is 2225593. The reversal of 2225584 is 4855222.

2225584 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2225581) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3357 + ... + 3964.

It is an arithmetic number, because the mean of its divisors is an integer number (226982).

22225584 is an apocalyptic number.

It is an amenable number.

2225584 is an abundant number, since it is smaller than the sum of its proper divisors (2314056).

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

2225584 is a wasteful number, since it uses less digits than its factorization.

2225584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7342 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2225584 is about 1491.8391334189. The cubic root of 2225584 is about 130.5613594590.

It can be divided in two parts, 2225 and 584, that added together give a square (2809 = 532).

The spelling of 2225584 in words is "two million, two hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 7321 14642 29284 58568 117136 139099 278198 556396 1112792 2225584