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2325200 = 24525813
BaseRepresentation
bin1000110111101011010000
311101010120112
420313223100
51043401300
6121500452
725523003
oct10675320
94333515
102325200
111348a59
12941728
13635477
1444753a
1530de35
hex237ad0

2325200 has 30 divisors (see below), whose sum is σ = 5587254. Its totient is φ = 929920.

The previous prime is 2325199. The next prime is 2325203. The reversal of 2325200 is 25232.

2325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 274576 + 2050624 = 524^2 + 1432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325203) 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 5 ways as a sum of consecutive naturals, for example, 2507 + ... + 3306.

22325200 is an apocalyptic number.

2325200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325200 is an abundant number, since it is smaller than the sum of its proper divisors (3262054).

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

2325200 is a wasteful number, since it uses less digits than its factorization.

2325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5820 counting only the distinct ones).

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

The square root of 2325200 is about 1524.8606493710. The cubic root of 2325200 is about 132.4809513378.

Subtracting from 2325200 its reverse (25232), we obtain a cube (2299968 = 1323).

The spelling of 2325200 in words is "two million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5813 11626 23252 29065 46504 58130 93008 116260 145325 232520 290650 465040 581300 1162600 2325200