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2208031 = 72973149
BaseRepresentation
bin1000011011000100011111
311011011211221
420123010133
51031124111
6115154211
724524260
oct10330437
94134757
102208031
111278a21
128a5967
135c4037
14416967
152d9371
hex21b11f

2208031 has 16 divisors (see below), whose sum is σ = 2664000. Its totient is φ = 1790208.

The previous prime is 2207993. The next prime is 2208053. The reversal of 2208031 is 1308022.

It is a happy number.

2208031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2208031 - 29 = 2207519 is a prime.

It is a super-2 number, since 2×22080312 = 9750801793922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2207996 and 2208014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208061) 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 15 ways as a sum of consecutive naturals, for example, 14745 + ... + 14893.

It is an arithmetic number, because the mean of its divisors is an integer number (166500).

22208031 is an apocalyptic number.

2208031 is a deficient number, since it is larger than the sum of its proper divisors (455969).

2208031 is a wasteful number, since it uses less digits than its factorization.

2208031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

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

The square root of 2208031 is about 1485.9444807933. The cubic root of 2208031 is about 130.2172108351.

Subtracting from 2208031 its reverse (1308022), we obtain a palindrome (900009).

The spelling of 2208031 in words is "two million, two hundred eight thousand, thirty-one".

Divisors: 1 7 29 73 149 203 511 1043 2117 4321 10877 14819 30247 76139 315433 2208031