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14225796 = 223213113269
BaseRepresentation
bin110110010001…
…000110000100
3222202202010100
4312101012010
512120211141
61224524100
7231626424
oct66210604
928682110
1014225796
118037062
124920630
132c41140
141c64484
1513b00b6
hexd91184

14225796 has 72 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 4322304.

The previous prime is 14225791. The next prime is 14225803. The reversal of 14225796 is 69752241.

14225796 = T1013 + T1014 + ... + T1039.

It can be written as a sum of positive squares in 4 ways, for example, as 2073600 + 12152196 = 1440^2 + 3486^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14225796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225791) 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, 52750 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 214225796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

14225796 is an abundant number, since it is smaller than the sum of its proper divisors (24987924).

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

14225796 is a wasteful number, since it uses less digits than its factorization.

14225796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 14225796 is about 3771.7099570354. The cubic root of 14225796 is about 242.3030377151.

The spelling of 14225796 in words is "fourteen million, two hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 269 339 452 468 538 678 807 1017 1076 1356 1469 1614 2034 2421 2938 3228 3497 4068 4407 4842 5876 6994 8814 9684 10491 13221 13988 17628 20982 26442 30397 31473 41964 52884 60794 62946 91191 121588 125892 182382 273573 364764 395161 547146 790322 1094292 1185483 1580644 2370966 3556449 4741932 7112898 14225796