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14221120 = 265192339
BaseRepresentation
bin110110001111…
…111101000000
3222202111201011
4312033331000
512120033440
61224450304
7231606664
oct66177500
928674634
1014221120
1180335a1
124919994
132c3bc84
141c628a4
1513ad9ea
hexd8ff40

14221120 has 56 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 5386752.

The previous prime is 14221093. The next prime is 14221127. The reversal of 14221120 is 2112241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221127) 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 7 ways as a sum of consecutive naturals, for example, 4911 + ... + 7249.

Almost surely, 214221120 is an apocalyptic number.

14221120 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 14221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

14221120 is an abundant number, since it is smaller than the sum of its proper divisors (21440480).

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

14221120 is a wasteful number, since it uses less digits than its factorization.

14221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14221120 is about 3771.0900280953. The cubic root of 14221120 is about 242.2764865783.

Adding to 14221120 its reverse (2112241), we get a palindrome (16333361).

It can be divided in two parts, 14221 and 120, that added together give a palindrome (14341).

The spelling of 14221120 in words is "fourteen million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2339 3040 4678 6080 9356 11695 18712 23390 37424 44441 46780 74848 88882 93560 149696 177764 187120 222205 355528 374240 444410 711056 748480 888820 1422112 1777640 2844224 3555280 7110560 14221120