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14214112 = 251123671
BaseRepresentation
bin110110001110…
…001111100000
3222202011002121
4312032033200
512114322422
61224354024
7231550363
oct66161740
928664077
1014214112
118029300
124915914
132c38a23
141c600da
1513ab8c7
hexd8e3e0

14214112 has 36 divisors (see below), whose sum is σ = 30767688. Its totient is φ = 6459200.

The previous prime is 14214107. The next prime is 14214113. The reversal of 14214112 is 21141241.

It is a happy number.

14214112 is digitally balanced in base 2, 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2037 + ... + 5707.

It is an arithmetic number, because the mean of its divisors is an integer number (854658).

Almost surely, 214214112 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 14214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383844).

14214112 is an abundant number, since it is smaller than the sum of its proper divisors (16553576).

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

14214112 is a wasteful number, since it uses less digits than its factorization.

14214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3684 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 14214112 is about 3770.1607392789. The cubic root of 14214112 is about 242.2366830422.

Adding to 14214112 its reverse (21141241), we get a palindrome (35355353).

The spelling of 14214112 in words is "fourteen million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3671 3872 7342 14684 29368 40381 58736 80762 117472 161524 323048 444191 646096 888382 1292192 1776764 3553528 7107056 14214112