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14230400 = 27524447
BaseRepresentation
bin110110010010…
…001110000000
3222202222102212
4312102032000
512120333100
61225001252
7231646022
oct66221600
928688385
1014230400
11803a568
124923228
132c43272
141c66012
1513b1635
hexd92380

14230400 has 48 divisors (see below), whose sum is σ = 35161440. Its totient is φ = 5690880.

The previous prime is 14230397. The next prime is 14230409. The reversal of 14230400 is 403241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14230409) 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, 977 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (732530).

Almost surely, 214230400 is an apocalyptic number.

14230400 is a gapful number since it is divisible by the number (10) 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 14230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580720).

14230400 is an abundant number, since it is smaller than the sum of its proper divisors (20931040).

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

14230400 is an equidigital number, since it uses as much as digits as its factorization.

14230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 14230400 is about 3772.3202409127. The cubic root of 14230400 is about 242.3291743395.

Adding to 14230400 its reverse (403241), we get a palindrome (14633641).

The spelling of 14230400 in words is "fourteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 4447 8894 17788 22235 35576 44470 71152 88940 111175 142304 177880 222350 284608 355760 444700 569216 711520 889400 1423040 1778800 2846080 3557600 7115200 14230400