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106223633 = 1737971741
BaseRepresentation
bin1100101010011…
…01100000010001
321101212201102122
412111031200101
5204143124013
614312424025
72426612615
oct625154021
9241781378
10106223633
1154a6242a
122b6a8015
1319012529
1410171345
1594d3a08
hex654d811

106223633 has 16 divisors (see below), whose sum is σ = 116769744. Its totient is φ = 96215040.

The previous prime is 106223629. The next prime is 106223641. The reversal of 106223633 is 336322601.

It can be written as a sum of positive squares in 8 ways, for example, as 71824 + 106151809 = 268^2 + 10303^2 .

It is a cyclic number.

It is not a de Polignac number, because 106223633 - 22 = 106223629 is a prime.

It is a super-2 number, since 2×1062236332 = 22566920415437378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106223603) 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, 60143 + ... + 61883.

It is an arithmetic number, because the mean of its divisors is an integer number (7298109).

Almost surely, 2106223633 is an apocalyptic number.

It is an amenable number.

106223633 is a deficient number, since it is larger than the sum of its proper divisors (10546111).

106223633 is a wasteful number, since it uses less digits than its factorization.

106223633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 106223633 is about 10306.4849973209. The cubic root of 106223633 is about 473.5949363373.

The spelling of 106223633 in words is "one hundred six million, two hundred twenty-three thousand, six hundred thirty-three".

Divisors: 1 17 37 97 629 1649 1741 3589 29597 61013 64417 168877 1095089 2870909 6248449 106223633