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225448916 = 22711838819
BaseRepresentation
bin11010111000000…
…01001111010100
3120201012222202212
431130001033110
5430203331131
634212052552
75405166320
oct1534011724
9521188685
10225448916
11106295120
1263604158
1337927934
1421d28980
1514bd4a2b
hexd7013d4

225448916 has 48 divisors (see below), whose sum is σ = 497871360. Its totient is φ = 86769120.

The previous prime is 225448913. The next prime is 225448931. The reversal of 225448916 is 619844522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225448913) 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 15 ways as a sum of consecutive naturals, for example, 21155 + ... + 29973.

It is an arithmetic number, because the mean of its divisors is an integer number (10372320).

Almost surely, 2225448916 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 225448916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

225448916 is an abundant number, since it is smaller than the sum of its proper divisors (272422444).

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

225448916 is a wasteful number, since it uses less digits than its factorization.

225448916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8922 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 225448916 is about 15014.9564101931. The cubic root of 225448916 is about 608.6244342123.

The spelling of 225448916 in words is "two hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 581 913 1162 1826 2324 3652 6391 8819 12782 17638 25564 35276 61733 97009 123466 194018 246932 388036 679063 731977 1358126 1463954 2716252 2927908 5123839 8051747 10247678 16103494 20495356 32206988 56362229 112724458 225448916