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14325200 = 245259607
BaseRepresentation
bin110110101001…
…010111010000
3222221210110222
4312221113100
512131401300
61231012212
7232522301
oct66512720
928853428
1014325200
1180a480a
12496a068
132c77466
141c8c7a8
1513ce785
hexda95d0

14325200 has 60 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 5623680.

The previous prime is 14325187. The next prime is 14325209. The reversal of 14325200 is 252341.

14325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143252002 = 410422710080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14325209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23297 + ... + 23903.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 214325200 is an apocalyptic number.

14325200 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 14325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

14325200 is an abundant number, since it is smaller than the sum of its proper divisors (20732080).

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

14325200 is a wasteful number, since it uses less digits than its factorization.

14325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 14325200 is about 3784.8645946718. The cubic root of 14325200 is about 242.8660995214.

Adding to 14325200 its reverse (252341), we get a palindrome (14577541).

The spelling of 14325200 in words is "fourteen million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 607 944 1180 1214 1475 2360 2428 2950 3035 4720 4856 5900 6070 9712 11800 12140 15175 23600 24280 30350 35813 48560 60700 71626 121400 143252 179065 242800 286504 358130 573008 716260 895325 1432520 1790650 2865040 3581300 7162600 14325200