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209805112 = 231114916001
BaseRepresentation
bin11001000000101…
…01111100111000
3112121210012111201
430200111330320
5412202230422
632452503544
75125212466
oct1440257470
9477705451
10209805112
11a847a760
125a31abb4
133460b24a
141dc15836
1513644727
hexc815f38

209805112 has 32 divisors (see below), whose sum is σ = 432054000. Its totient is φ = 94720000.

The previous prime is 209805097. The next prime is 209805161. The reversal of 209805112 is 211508902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5112 + ... + 21112.

Almost surely, 2209805112 is an apocalyptic number.

209805112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209805112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216027000).

209805112 is an abundant number, since it is smaller than the sum of its proper divisors (222248888).

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

209805112 is a wasteful number, since it uses less digits than its factorization.

209805112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167 (or 16163 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 209805112 is about 14484.6509105328. The cubic root of 209805112 is about 594.2082654997.

The spelling of 209805112 in words is "two hundred nine million, eight hundred five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 3278 6556 13112 16001 32002 64004 128008 176011 352022 704044 1408088 2384149 4768298 9536596 19073192 26225639 52451278 104902556 209805112