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2205852 = 2231117983
BaseRepresentation
bin1000011010100010011100
311011001212020
420122202130
51031041402
6115140140
724515025
oct10324234
94131766
102205852
111277320
128a4650
135c304c
14415c4c
152d88bc
hex21a89c

2205852 has 48 divisors (see below), whose sum is σ = 5951232. Its totient is φ = 628480.

The previous prime is 2205839. The next prime is 2205883. The reversal of 2205852 is 2585022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

22205852 is an apocalyptic number.

2205852 is a gapful number since it is divisible by the number (22) 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 2205852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975616).

2205852 is an abundant number, since it is smaller than the sum of its proper divisors (3745380).

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

2205852 is a wasteful number, since it uses less digits than its factorization.

2205852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2205852 is about 1485.2110961072. The cubic root of 2205852 is about 130.1743616947.

The spelling of 2205852 in words is "two million, two hundred five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 983 1122 1966 2244 2949 3932 5898 10813 11796 16711 21626 32439 33422 43252 50133 64878 66844 100266 129756 183821 200532 367642 551463 735284 1102926 2205852