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210032196 = 2231111314081
BaseRepresentation
bin11001000010011…
…01011001000100
3112122012202000020
430201031121010
5412232012241
632501415140
75130146523
oct1441153104
9478182006
10210032196
11a8615330
125a40a4b0
133468a70a
141dc744ba
151368bb66
hexc84d644

210032196 has 48 divisors (see below), whose sum is σ = 539396928. Its totient is φ = 63078400.

The previous prime is 210032149. The next prime is 210032231. The reversal of 210032196 is 691230012.

It is a super-2 number, since 2×2100321962 = 88227046713164832, which contains 22 as substring.

It is an unprimeable number.

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, 7876 + ... + 21956.

It is an arithmetic number, because the mean of its divisors is an integer number (11237436).

Almost surely, 2210032196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210032196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269698464).

210032196 is an abundant number, since it is smaller than the sum of its proper divisors (329364732).

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

210032196 is a wasteful number, since it uses less digits than its factorization.

210032196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 210032196 is about 14492.4875711522. The cubic root of 210032196 is about 594.4225699957.

The spelling of 210032196 in words is "two hundred ten million, thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 14081 14916 28162 42243 56324 84486 154891 168972 309782 464673 619564 929346 1591153 1858692 3182306 4773459 6364612 9546918 17502683 19093836 35005366 52508049 70010732 105016098 210032196