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2291120 = 245132203
BaseRepresentation
bin1000101111010110110000
311022101211022
420233112300
51041303440
6121035012
725321436
oct10572660
94271738
102291120
111325397
12925a68
13622ac0
14438d56
15303cb5
hex22f5b0

2291120 has 40 divisors (see below), whose sum is σ = 5739216. Its totient is φ = 845568.

The previous prime is 2291119. The next prime is 2291131. The reversal of 2291120 is 211922.

2291120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 62 + ... + 2141.

22291120 is an apocalyptic number.

2291120 is a gapful number since it is divisible by the number (20) 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 2291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869608).

2291120 is an abundant number, since it is smaller than the sum of its proper divisors (3448096).

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

2291120 is a wasteful number, since it uses less digits than its factorization.

2291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2291120 is about 1513.6446082222. The cubic root of 2291120 is about 131.8305140338.

The spelling of 2291120 in words is "two million, two hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2203 4406 8812 11015 17624 22030 28639 35248 44060 57278 88120 114556 143195 176240 229112 286390 458224 572780 1145560 2291120