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2242016 = 25710009
BaseRepresentation
bin1000100011010111100000
311012220110122
420203113200
51033221031
6120015412
725025330
oct10432740
94186418
102242016
1112a1507
12901568
1360664a
144250c0
152e447b
hex2235e0

2242016 has 24 divisors (see below), whose sum is σ = 5045040. Its totient is φ = 960768.

The previous prime is 2241989. The next prime is 2242027. The reversal of 2242016 is 6102422.

2242016 is a modest number, since divided by 2016 gives 224 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2241985 and 2242003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4781 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

22242016 is an apocalyptic number.

It is an amenable number.

2242016 is an abundant number, since it is smaller than the sum of its proper divisors (2803024).

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

2242016 is a wasteful number, since it uses less digits than its factorization.

2242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2242016 is about 1497.3363015702. The cubic root of 2242016 is about 130.8818934333.

Adding to 2242016 its reverse (6102422), we get a palindrome (8344438).

It can be divided in two parts, 224 and 2016, that multiplied together give a square (451584 = 6722).

The spelling of 2242016 in words is "two million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 10009 20018 40036 70063 80072 140126 160144 280252 320288 560504 1121008 2242016