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2213008 = 24719759
BaseRepresentation
bin1000011100010010010000
311011102200021
420130102100
51031304013
6115233224
724544630
oct10342220
94142607
102213008
111281736
128a8814
135c6395
144186c0
152daa8d
hex21c490

2213008 has 20 divisors (see below), whose sum is σ = 4900480. Its totient is φ = 948384.

The previous prime is 2212979. The next prime is 2213033. The reversal of 2213008 is 8003122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212982 and 2213000.

It is an unprimeable number.

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, 9768 + ... + 9991.

It is an arithmetic number, because the mean of its divisors is an integer number (245024).

22213008 is an apocalyptic number.

2213008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2213008 is an abundant number, since it is smaller than the sum of its proper divisors (2687472).

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

2213008 is a wasteful number, since it uses less digits than its factorization.

2213008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19774 (or 19768 counting only the distinct ones).

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

The square root of 2213008 is about 1487.6182305955. The cubic root of 2213008 is about 130.3149758763.

The spelling of 2213008 in words is "two million, two hundred thirteen thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 19759 39518 79036 138313 158072 276626 316144 553252 1106504 2213008