Search a number
-
+
14112200 = 2352411721
BaseRepresentation
bin110101110101…
…010111001000
3222112222022002
4311311113020
512103042300
61222250132
7230644304
oct65652710
928488262
1014112200
117a69783
124886948
132c0151b
141c34d04
15138b5d5
hexd755c8

14112200 has 48 divisors (see below), whose sum is σ = 33630660. Its totient is φ = 5504000.

The previous prime is 14112199. The next prime is 14112221. The reversal of 14112200 is 221141.

It can be written as a sum of positive squares in 6 ways, for example, as 3076516 + 11035684 = 1754^2 + 3322^2 .

It is a congruent number.

It is an unprimeable number.

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, 7340 + ... + 9060.

Almost surely, 214112200 is an apocalyptic number.

14112200 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 14112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815330).

14112200 is an abundant number, since it is smaller than the sum of its proper divisors (19518460).

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

14112200 is a wasteful number, since it uses less digits than its factorization.

14112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 14112200 is about 3756.6208219622. The cubic root of 14112200 is about 241.6563663201.

Adding to 14112200 its reverse (221141), we get a palindrome (14333341).

It can be divided in two parts, 14112 and 200, that multiplied together give a square (2822400 = 16802).

The spelling of 14112200 in words is "fourteen million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1721 2050 3442 4100 6884 8200 8605 13768 17210 34420 43025 68840 70561 86050 141122 172100 282244 344200 352805 564488 705610 1411220 1764025 2822440 3528050 7056100 14112200