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210216096 = 25323112347
BaseRepresentation
bin11001000011110…
…10010010100000
3112122120002021100
430201322102200
5412303403341
632505354400
75131543626
oct1441722240
9478502240
10210216096
11a8730512
125a498a00
133472332c
141dcc1516
15136c63b6
hexc87a4a0

210216096 has 72 divisors (see below), whose sum is σ = 599979744. Its totient is φ = 69816960.

The previous prime is 210216091. The next prime is 210216107. The reversal of 210216096 is 690612012.

210216096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (210216091) 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 11 ways as a sum of consecutive naturals, for example, 88395 + ... + 90741.

It is an arithmetic number, because the mean of its divisors is an integer number (8333052).

Almost surely, 2210216096 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 210216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299989872).

210216096 is an abundant number, since it is smaller than the sum of its proper divisors (389763648).

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

210216096 is a wasteful number, since it uses less digits than its factorization.

210216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 210216096 is about 14498.8308494168. The cubic root of 210216096 is about 594.5960075666.

The spelling of 210216096 in words is "two hundred ten million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1866 2347 2488 2799 3732 4694 4976 5598 7041 7464 9388 9952 11196 14082 14928 18776 21123 22392 28164 29856 37552 42246 44784 56328 75104 84492 89568 112656 168984 225312 337968 675936 729917 1459834 2189751 2919668 4379502 5839336 6569253 8759004 11678672 13138506 17518008 23357344 26277012 35036016 52554024 70072032 105108048 210216096