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14225940 = 22325174649
BaseRepresentation
bin110110010001…
…001000010100
3222202202022200
4312101020110
512120212230
61224524500
7231630021
oct66211024
928682280
1014225940
118037183
124920730
132c41221
141c64548
1513b0160
hexd91214

14225940 has 72 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3569664.

The previous prime is 14225929. The next prime is 14225941. The reversal of 14225940 is 4952241.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 7064964 = 2676^2 + 2658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 214225940 is an apocalyptic number.

14225940 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 14225940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

14225940 is an abundant number, since it is smaller than the sum of its proper divisors (31474260).

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

14225940 is a wasteful number, since it uses less digits than its factorization.

14225940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14225940 is about 3771.7290464719. The cubic root of 14225940 is about 242.3038552797.

The spelling of 14225940 in words is "fourteen million, two hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4649 9298 13947 18596 23245 27894 41841 46490 55788 69735 79033 83682 92980 139470 158066 167364 209205 237099 278940 316132 395165 418410 474198 711297 790330 836820 948396 1185495 1422594 1580660 2370990 2845188 3556485 4741980 7112970 14225940