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2005232 = 24235449
BaseRepresentation
bin111101001100011110000
310202212122212
413221203300
51003131412
6110551252
723021105
oct7514360
93685585
102005232
11114a619
12808528
13552938
143a2aac
15299222
hex1e98f0

2005232 has 20 divisors (see below), whose sum is σ = 4054800. Its totient is φ = 958848.

The previous prime is 2005231. The next prime is 2005249. The reversal of 2005232 is 2325002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005231) 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 3 ways as a sum of consecutive naturals, for example, 2357 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (202740).

22005232 is an apocalyptic number.

It is an amenable number.

2005232 is an abundant number, since it is smaller than the sum of its proper divisors (2049568).

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

2005232 is a wasteful number, since it uses less digits than its factorization.

2005232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5474 counting only the distinct ones).

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

The square root of 2005232 is about 1416.0621455289. The cubic root of 2005232 is about 126.1018744416.

The spelling of 2005232 in words is "two million, five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 5449 10898 21796 43592 87184 125327 250654 501308 1002616 2005232