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216056576 = 284871733
BaseRepresentation
bin11001110000011…
…00001100000000
3120001112210220102
430320030030000
5420302302301
633234501532
75232310361
oct1470141400
9501483812
10216056576
11100a5a55a
12604348a8
13359b9838
14209a1b68
1513e7bb6b
hexce0c300

216056576 has 36 divisors (see below), whose sum is σ = 432404112. Its totient is φ = 107744256.

The previous prime is 216056573. The next prime is 216056627. The reversal of 216056576 is 675650612.

216056576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (216056573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123806 + ... + 125538.

Almost surely, 2216056576 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 216056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216202056).

216056576 is an abundant number, since it is smaller than the sum of its proper divisors (216347536).

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

216056576 is an equidigital number, since it uses as much as digits as its factorization.

216056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 216056576 is about 14698.8630852866. The cubic root of 216056576 is about 600.0523806122.

The spelling of 216056576 in words is "two hundred sixteen million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 487 974 1733 1948 3466 3896 6932 7792 13864 15584 27728 31168 55456 62336 110912 124672 221824 443648 843971 1687942 3375884 6751768 13503536 27007072 54014144 108028288 216056576