Search a number
-
+
225321344 = 272297687
BaseRepresentation
bin11010110111000…
…10000110000000
3120200222111202222
431123202012000
5430140240334
634205230212
75404125353
oct1533420600
9520874688
10225321344
11106208296
1263562368
13378b1851
1421cd429a
1514babd2e
hexd6e2180

225321344 has 32 divisors (see below), whose sum is σ = 450901200. Its totient is φ = 112154112.

The previous prime is 225321331. The next prime is 225321347. The reversal of 225321344 is 443123522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225321347) 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 3 ways as a sum of consecutive naturals, for example, 25469 + ... + 33155.

Almost surely, 2225321344 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 225321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225450600).

225321344 is an abundant number, since it is smaller than the sum of its proper divisors (225579856).

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

225321344 is an equidigital number, since it uses as much as digits as its factorization.

225321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7918 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 225321344 is about 15010.7076448780. The cubic root of 225321344 is about 608.5096142827.

Adding to 225321344 its reverse (443123522), we get a palindrome (668444866).

The spelling of 225321344 in words is "two hundred twenty-five million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1832 3664 7328 7687 14656 15374 29312 30748 61496 122992 245984 491968 983936 1760323 3520646 7041292 14082584 28165168 56330336 112660672 225321344