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225343344 = 24319247087
BaseRepresentation
bin11010110111001…
…11011101110000
3120201000121221210
431123213131300
5430141441334
634205520120
75404246452
oct1533473560
9521017853
10225343344
11106222876
1263573040
13378bb875
1421cdc2d2
1514bb35e9
hexd6e7770

225343344 has 40 divisors (see below), whose sum is σ = 612778240. Its totient is φ = 71160768.

The previous prime is 225343343. The next prime is 225343403. The reversal of 225343344 is 443343522.

225343344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225343343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122632 + ... + 124455.

It is an arithmetic number, because the mean of its divisors is an integer number (15319456).

Almost surely, 2225343344 is an apocalyptic number.

225343344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225343344 is an abundant number, since it is smaller than the sum of its proper divisors (387434896).

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

225343344 is a wasteful number, since it uses less digits than its factorization.

225343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247117 (or 247111 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 225343344 is about 15011.4404372132. The cubic root of 225343344 is about 608.5294182592.

Adding to 225343344 its reverse (443343522), we get a palindrome (668686866).

It can be divided in two parts, 22534 and 3344, that added together give a triangular number (25878 = T227).

The spelling of 225343344 in words is "two hundred twenty-five million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 247087 494174 741261 988348 1482522 1976696 2965044 3953392 4694653 5930088 9389306 11860176 14083959 18778612 28167918 37557224 56335836 75114448 112671672 225343344