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2231080 = 235172193
BaseRepresentation
bin1000100000101100101000
311012100110121
420200230220
51032343310
6115453024
724651415
oct10405450
94170417
102231080
111294275
128b7174
13601687
1442110c
152e10da
hex220b28

2231080 has 48 divisors (see below), whose sum is σ = 5360220. Its totient is φ = 835584.

The previous prime is 2231077. The next prime is 2231087. The reversal of 2231080 is 801322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 917764 = 1146^2 + 958^2 .

It is a super-3 number, since 3×22310803 = 33317061001427136000, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2231087) 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 11 ways as a sum of consecutive naturals, for example, 11464 + ... + 11656.

22231080 is an apocalyptic number.

2231080 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 2231080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680110).

2231080 is an abundant number, since it is smaller than the sum of its proper divisors (3129140).

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

2231080 is a wasteful number, since it uses less digits than its factorization.

2231080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2231080 is about 1493.6800192812. The cubic root of 2231080 is about 130.6687433147.

The spelling of 2231080 in words is "two million, two hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 289 340 386 578 680 772 965 1156 1445 1544 1930 2312 2890 3281 3860 5780 6562 7720 11560 13124 16405 26248 32810 55777 65620 111554 131240 223108 278885 446216 557770 1115540 2231080