Search a number
-
+
14214116 = 2272471543
BaseRepresentation
bin110110001110…
…001111100100
3222202011002202
4312032033210
512114322431
61224354032
7231550400
oct66161744
928664082
1014214116
118029304
124915918
132c38a27
141c60100
1513ab8cb
hexd8e3e4

14214116 has 36 divisors (see below), whose sum is σ = 29570688. Its totient is φ = 5958288.

The previous prime is 14214113. The next prime is 14214121. The reversal of 14214116 is 61141241.

It is a super-2 number, since 2×142141162 = 404082187322912, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8441 + ... + 9983.

It is an arithmetic number, because the mean of its divisors is an integer number (821408).

Almost surely, 214214116 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 14214116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785344).

14214116 is an abundant number, since it is smaller than the sum of its proper divisors (15356572).

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

14214116 is a wasteful number, since it uses less digits than its factorization.

14214116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1599 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 14214116 is about 3770.1612697602. The cubic root of 14214116 is about 242.2367057648.

Adding to 14214116 its reverse (61141241), we get a palindrome (75355357).

The spelling of 14214116 in words is "fourteen million, two hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 1543 2303 3086 4606 6172 9212 10801 21602 43204 72521 75607 145042 151214 290084 302428 507647 1015294 2030588 3553529 7107058 14214116