Search a number
-
+
225988256 = 2513543241
BaseRepresentation
bin11010111100001…
…00111010100000
3120202020101121102
431132010322200
5430323111011
634231413532
75412603614
oct1536047240
9522211542
10225988256
1110662335a
12638242a8
1337a86280
1422029344
1514c8e73b
hexd784ea0

225988256 has 24 divisors (see below), whose sum is σ = 479139444. Its totient is φ = 104302080.

The previous prime is 225988249. The next prime is 225988289. The reversal of 225988256 is 652889522.

225988256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215619856 + 10368400 = 14684^2 + 3220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225988256.

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 3 ways as a sum of consecutive naturals, for example, 271205 + ... + 272036.

Almost surely, 2225988256 is an apocalyptic number.

225988256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225988256 is an abundant number, since it is smaller than the sum of its proper divisors (253151188).

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

225988256 is a wasteful number, since it uses less digits than its factorization.

225988256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543264 (or 543256 counting only the distinct ones).

The product of its digits is 691200, while the sum is 47.

The square root of 225988256 is about 15032.9057736686. The cubic root of 225988256 is about 609.1093838176.

The spelling of 225988256 in words is "two hundred twenty-five million, nine hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 543241 1086482 2172964 4345928 7062133 8691856 14124266 17383712 28248532 56497064 112994128 225988256