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2305212 = 2237132111
BaseRepresentation
bin1000110010110010111100
311100010011020
420302302330
51042231322
6121224140
725410510
oct10626274
94303136
102305212
111334a38
12932050
13629340
14440140
1530805c
hex232cbc

2305212 has 48 divisors (see below), whose sum is σ = 6623232. Its totient is φ = 607680.

The previous prime is 2305169. The next prime is 2305271. The reversal of 2305212 is 2125032.

2305212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2305191 and 2305200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (137984).

22305212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311616).

2305212 is an abundant number, since it is smaller than the sum of its proper divisors (4318020).

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

2305212 is a wasteful number, since it uses less digits than its factorization.

2305212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2305212 is about 1518.2924619453. The cubic root of 2305212 is about 132.1002452469.

The spelling of 2305212 in words is "two million, three hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2111 4222 6333 8444 12666 14777 25332 27443 29554 44331 54886 59108 82329 88662 109772 164658 177324 192101 329316 384202 576303 768404 1152606 2305212