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2226016 = 25135351
BaseRepresentation
bin1000011111011101100000
311012002112001
420133131200
51032213031
6115413344
724630562
oct10373540
94162461
102226016
111290491
128b4254
135cc290
1441d332
152de861
hex21f760

2226016 has 24 divisors (see below), whose sum is σ = 4720464. Its totient is φ = 1027200.

The previous prime is 2226001. The next prime is 2226019. The reversal of 2226016 is 6106222.

2226016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2225984 and 2226002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2260 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (196686).

22226016 is an apocalyptic number.

2226016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2226016 is an abundant number, since it is smaller than the sum of its proper divisors (2494448).

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

2226016 is a wasteful number, since it uses less digits than its factorization.

2226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2226016 is about 1491.9839141224. The cubic root of 2226016 is about 130.5698065090.

The spelling of 2226016 in words is "two million, two hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5351 10702 21404 42808 69563 85616 139126 171232 278252 556504 1113008 2226016