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2002325 = 521361101
BaseRepresentation
bin111101000110110010101
310202201200012
413220312111
51003033300
6110530005
723006453
oct7506625
93681605
102002325
111148416
12806905
13551510
143a19d3
15298435
hex1e8d95

2002325 has 24 divisors (see below), whose sum is σ = 2744616. Its totient is φ = 1440000.

The previous prime is 2002313. The next prime is 2002327. The reversal of 2002325 is 5232002.

It can be written as a sum of positive squares in 12 ways, for example, as 908209 + 1094116 = 953^2 + 1046^2 .

It is not a de Polignac number, because 2002325 - 216 = 1936789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19775 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (114359).

22002325 is an apocalyptic number.

2002325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002325 is a deficient number, since it is larger than the sum of its proper divisors (742291).

2002325 is a wasteful number, since it uses less digits than its factorization.

2002325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2002325 is about 1415.0353352479. The cubic root of 2002325 is about 126.0409080239.

Adding to 2002325 its reverse (5232002), we get a palindrome (7234327).

The spelling of 2002325 in words is "two million, two thousand, three hundred twenty-five".

Divisors: 1 5 13 25 61 65 101 305 325 505 793 1313 1525 2525 3965 6161 6565 19825 30805 32825 80093 154025 400465 2002325