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14265216 = 273272961
BaseRepresentation
bin110110011010…
…101110000000
3222211202012100
4312122232000
512122441331
61225430400
7232152360
oct66325600
928752170
1014265216
118063739
12493b400
132c56074
141c749a0
1513bbae6
hexd9ab80

14265216 has 192 divisors, whose sum is σ = 49327200. Its totient is φ = 3870720.

The previous prime is 14265211. The next prime is 14265263. The reversal of 14265216 is 61256241.

14265216 is a `hidden beast` number, since 1 + 4 + 2 + 652 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×142652164 (a number of 30 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14265216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14265211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 233826 + ... + 233886.

Almost surely, 214265216 is an apocalyptic number.

14265216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663600).

14265216 is an abundant number, since it is smaller than the sum of its proper divisors (35061984).

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

14265216 is a wasteful number, since it uses less digits than its factorization.

14265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 14265216 is about 3776.9320883490. The cubic root of 14265216 is about 242.5266403581.

Subtracting 14265216 from its reverse (61256241), we obtain a square (46991025 = 68552).

The spelling of 14265216 in words is "fourteen million, two hundred sixty-five thousand, two hundred sixteen".