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2234128 = 241323467
BaseRepresentation
bin1000100001011100010000
311012111122111
420201130100
51032443003
6115515104
724663331
oct10413420
94174574
102234128
111296596
128b8a94
13602b90
14422288
152e1e6d
hex221710

2234128 has 40 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 984192.

The previous prime is 2234119. The next prime is 2234129. The reversal of 2234128 is 8214322.

It is a junction number, because it is equal to n+sod(n) for n = 2234099 and 2234108.

It is not an unprimeable number, because it can be changed into a prime (2234129) 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 7 ways as a sum of consecutive naturals, for example, 4551 + ... + 5017.

22234128 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 2234128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

2234128 is an abundant number, since it is smaller than the sum of its proper divisors (2640560).

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

2234128 is a wasteful number, since it uses less digits than its factorization.

2234128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 2234128 is about 1494.6999698936. The cubic root of 2234128 is about 130.7282208020.

The spelling of 2234128 in words is "two million, two hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 467 598 934 1196 1868 2392 3736 4784 6071 7472 10741 12142 21482 24284 42964 48568 85928 97136 139633 171856 279266 558532 1117064 2234128