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214021312 = 264181563
BaseRepresentation
bin11001100000110…
…11010011000000
3112220201102001021
430300123103000
5414242140222
633123115224
75206102561
oct1460332300
9486642037
10214021312
11aa89a41a
125b812b14
133545633b
14205d2168
1513bc8ac7
hexcc1b4c0

214021312 has 28 divisors (see below), whose sum is σ = 435062376. Its totient is φ = 104399360.

The previous prime is 214021307. The next prime is 214021321. The reversal of 214021312 is 213120412.

214021312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 3 ways as a sum of consecutive naturals, for example, 38158 + ... + 43405.

It is an arithmetic number, because the mean of its divisors is an integer number (15537942).

Almost surely, 2214021312 is an apocalyptic number.

It is an amenable number.

214021312 is an abundant number, since it is smaller than the sum of its proper divisors (221041064).

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

214021312 is an equidigital number, since it uses as much as digits as its factorization.

214021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81616 (or 81606 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 214021312 is about 14629.4672493567. The cubic root of 214021312 is about 598.1622584047.

Adding to 214021312 its reverse (213120412), we get a palindrome (427141724).

The spelling of 214021312 in words is "two hundred fourteen million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 81563 163126 326252 652504 1305008 2610016 3344083 5220032 6688166 13376332 26752664 53505328 107010656 214021312