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2002225 = 522832
BaseRepresentation
bin111101000110100110001
310202201112111
413220310301
51003032400
6110525321
723006251
oct7506461
93681474
102002225
111148335
12806841
13551464
143a1961
152983ba
hex1e8d31

2002225 has 9 divisors (see below), whose sum is σ = 2491563. Its totient is φ = 1596120.

The previous prime is 2002223. The next prime is 2002229. The reversal of 2002225 is 5222002.

The square root of 2002225 is 1415.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 720801 + 1281424 = 849^2 + 1132^2 .

It is not a de Polignac number, because 2002225 - 21 = 2002223 is a prime.

It is a Duffinian number.

2002225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2002223) 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 8 ways as a sum of consecutive naturals, for example, 6934 + ... + 7216.

22002225 is an apocalyptic number.

2002225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2002225 is the 1415-th square number.

2002225 is the 708-th centered octagonal number.

It is an amenable number.

2002225 is a deficient number, since it is larger than the sum of its proper divisors (489338).

2002225 is an frugal number, since it uses more digits than its factorization.

2002225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 2002225 is about 126.0388097464.

Adding to 2002225 its reverse (5222002), we get a palindrome (7224227).

The spelling of 2002225 in words is "two million, two thousand, two hundred twenty-five".

Divisors: 1 5 25 283 1415 7075 80089 400445 2002225