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2325000 = 2335531
BaseRepresentation
bin1000110111101000001000
311101010022010
420313220020
51043400000
6121455520
725522266
oct10675010
94333263
102325000
111348897
129415a0
13635352
14447436
1530dd50
hex237a08

2325000 has 96 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 600000.

The previous prime is 2324999. The next prime is 2325007. The reversal of 2325000 is 5232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2325007) 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, 74985 + ... + 75015.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22325000 is an apocalyptic number.

2325000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2325000 is an abundant number, since it is smaller than the sum of its proper divisors (5174520).

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

2325000 is an equidigital number, since it uses as much as digits as its factorization.

2325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2325000 is about 1524.7950681977. The cubic root of 2325000 is about 132.4771528187.

The spelling of 2325000 in words is "two million, three hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 1000 1240 1250 1500 1550 1860 1875 2325 2500 3000 3100 3125 3720 3750 3875 4650 5000 6200 6250 7500 7750 9300 9375 11625 12500 15000 15500 18600 18750 19375 23250 25000 31000 37500 38750 46500 58125 75000 77500 93000 96875 116250 155000 193750 232500 290625 387500 465000 581250 775000 1162500 2325000