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214112032 = 2531321377
BaseRepresentation
bin11001100001100…
…01011100100000
3112220220000111021
430300301130200
5414303041112
633125055224
75206631221
oct1460613440
9486800437
10214112032
11aa9515a2
125b857514
1335488714
1420617248
1513be5907
hexcc31720

214112032 has 24 divisors (see below), whose sum is σ = 422899596. Its totient is φ = 106708992.

The previous prime is 214112027. The next prime is 214112051. The reversal of 214112032 is 230211412.

214112032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142945936 + 71166096 = 11956^2 + 8436^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 214111997 and 214112015.

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, 673 + ... + 20704.

Almost surely, 2214112032 is an apocalyptic number.

It is an amenable number.

214112032 is a deficient number, since it is larger than the sum of its proper divisors (208787564).

214112032 is a wasteful number, since it uses less digits than its factorization.

214112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700 (or 21692 counting only the distinct ones).

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

The square root of 214112032 is about 14632.5675122311. The cubic root of 214112032 is about 598.2467634072.

Adding to 214112032 its reverse (230211412), we get a palindrome (444323444).

The spelling of 214112032 in words is "two hundred fourteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 313 626 1252 2504 5008 10016 21377 42754 85508 171016 342032 684064 6691001 13382002 26764004 53528008 107056016 214112032