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2216080 = 24527701
BaseRepresentation
bin1000011101000010010000
311011120220001
420131002100
51031403310
6115255344
724556606
oct10350220
94146801
102216080
111283a79
128aa554
135c78b9
14419876
152db93a
hex21d090

2216080 has 20 divisors (see below), whose sum is σ = 5152572. Its totient is φ = 886400.

The previous prime is 2216057. The next prime is 2216083. The reversal of 2216080 is 806122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 1354896 = 928^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×22160802 = 9822021132800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216083) 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 3 ways as a sum of consecutive naturals, for example, 13771 + ... + 13930.

22216080 is an apocalyptic number.

2216080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216080 is an abundant number, since it is smaller than the sum of its proper divisors (2936492).

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

2216080 is a wasteful number, since it uses less digits than its factorization.

2216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27714 (or 27708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2216080 is about 1488.6503954925. The cubic root of 2216080 is about 130.3752471616.

The spelling of 2216080 in words is "two million, two hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27701 55402 110804 138505 221608 277010 443216 554020 1108040 2216080