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14256220 = 22511243137
BaseRepresentation
bin110110011000…
…100001011100
3222211021212011
4312120201130
512122144340
61225321004
7232114216
oct66304134
928737764
1014256220
118057a00
124936164
132c51c44
141c715b6
1513b90ea
hexd9885c

14256220 has 72 divisors (see below), whose sum is σ = 33918192. Its totient is φ = 5026560.

The previous prime is 14256191. The next prime is 14256227. The reversal of 14256220 is 2265241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14256191 and 14256200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14256227) 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, 103992 + ... + 104128.

It is an arithmetic number, because the mean of its divisors is an integer number (471086).

Almost surely, 214256220 is an apocalyptic number.

14256220 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 14256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959096).

14256220 is an abundant number, since it is smaller than the sum of its proper divisors (19661972).

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

14256220 is a wasteful number, since it uses less digits than its factorization.

14256220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 14256220 is about 3775.7409868793. The cubic root of 14256220 is about 242.4756485272.

The spelling of 14256220 in words is "fourteen million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 137 172 215 220 242 274 430 473 484 548 605 685 860 946 1210 1370 1507 1892 2365 2420 2740 3014 4730 5203 5891 6028 7535 9460 10406 11782 15070 16577 20812 23564 26015 29455 30140 33154 52030 58910 64801 66308 82885 104060 117820 129602 165770 259204 324005 331540 648010 712811 1296020 1425622 2851244 3564055 7128110 14256220