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201825 = 33521323
BaseRepresentation
bin110001010001100001
3101020212000
4301101201
522424300
64154213
71500261
oct612141
9336760
10201825
111286a8
1298969
1370b30
14537a1
153ec00
hex31461

201825 has 48 divisors (see below), whose sum is σ = 416640. Its totient is φ = 95040.

The previous prime is 201823. The next prime is 201827. The reversal of 201825 is 528102.

Adding to 201825 its reverse (528102), we get a palindrome (729927).

201825 = 163 + 173 + ... + 303.

It is an interprime number because it is at equal distance from previous prime (201823) and next prime (201827).

It is not a de Polignac number, because 201825 - 21 = 201823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201798 and 201807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 201825.

It is not an unprimeable number, because it can be changed into a prime (201821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8764 + ... + 8786.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2201825 is an apocalyptic number.

201825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201825 is the 225-th decagonal number.

It is an amenable number.

201825 is an abundant number, since it is smaller than the sum of its proper divisors (214815).

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

201825 is a wasteful number, since it uses less digits than its factorization.

201825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201825 is about 449.2493739562. The cubic root of 201825 is about 58.6576941914.

The spelling of 201825 in words is "two hundred one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 27 39 45 65 69 75 115 117 135 195 207 225 299 325 345 351 575 585 621 675 897 975 1035 1495 1725 1755 2691 2925 3105 4485 5175 7475 8073 8775 13455 15525 22425 40365 67275 201825