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2083333 = 72174161
BaseRepresentation
bin111111100101000000101
310220211210111
413330220011
51013131313
6112353021
723464600
oct7745005
93824714
102083333
1111a326a
12845771
1357c355
143c3337
152b243d
hex1fca05

2083333 has 24 divisors (see below), whose sum is σ = 2671704. Its totient is φ = 1612800.

The previous prime is 2083321. The next prime is 2083339. The reversal of 2083333 is 3333802.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 2079364 = 63^2 + 1442^2 .

It is not a de Polignac number, because 2083333 - 217 = 1952261 is a prime.

2083333 is a modest number, since divided by 3333 gives 208 as remainder.

2083333 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083339) 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 23 ways as a sum of consecutive naturals, for example, 34123 + ... + 34183.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

22083333 is an apocalyptic number.

It is an amenable number.

2083333 is a deficient number, since it is larger than the sum of its proper divisors (588371).

2083333 is a wasteful number, since it uses less digits than its factorization.

2083333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2083333 is about 1443.3755575040. The cubic root of 2083333 is about 127.7182319206.

The spelling of 2083333 in words is "two million, eighty-three thousand, three hundred thirty-three".

Divisors: 1 7 17 41 49 61 119 287 427 697 833 1037 2009 2501 2989 4879 7259 17507 34153 42517 50813 122549 297619 2083333