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225626912 = 2572514013
BaseRepresentation
bin11010111001011…
…00101100100000
3120201120000221022
431130230230200
5430230030122
634215545012
75406540260
oct1534545440
9521500838
10225626912
111063a6925
126368b168
133798a964
1421d737a0
1514c1c642
hexd72cb20

225626912 has 48 divisors (see below), whose sum is σ = 509810112. Its totient is φ = 96288000.

The previous prime is 225626909. The next prime is 225626917. The reversal of 225626912 is 219626522.

It is not an unprimeable number, because it can be changed into a prime (225626917) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54218 + ... + 58230.

It is an arithmetic number, because the mean of its divisors is an integer number (10621044).

Almost surely, 2225626912 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 225626912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254905056).

225626912 is an abundant number, since it is smaller than the sum of its proper divisors (284183200).

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

225626912 is a wasteful number, since it uses less digits than its factorization.

225626912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 225626912 is about 15020.8825306638. The cubic root of 225626912 is about 608.7845654133.

The spelling of 225626912 in words is "two hundred twenty-five million, six hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 1004 1757 2008 3514 4013 4016 7028 8026 8032 14056 16052 28091 28112 32104 56182 56224 64208 112364 128416 224728 449456 898912 1007263 2014526 4029052 7050841 8058104 14101682 16116208 28203364 32232416 56406728 112813456 225626912