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225484938 = 2337837187
BaseRepresentation
bin11010111000010…
…10000010001010
3120201021211012000
431130022002022
5430211004223
634212531430
75405406330
oct1534120212
9521254160
10225484938
1110630a198
1263620b76
133793b153
1421d37b50
1514be0543
hexd70a08a

225484938 has 64 divisors (see below), whose sum is σ = 579640320. Its totient is φ = 63639216.

The previous prime is 225484933. The next prime is 225484981. The reversal of 225484938 is 839484522.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225484893 and 225484902.

It is not an unprimeable number, because it can be changed into a prime (225484933) 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 31 ways as a sum of consecutive naturals, for example, 27781 + ... + 34967.

It is an arithmetic number, because the mean of its divisors is an integer number (9056880).

Almost surely, 2225484938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225484938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289820160).

225484938 is an abundant number, since it is smaller than the sum of its proper divisors (354155382).

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

225484938 is a wasteful number, since it uses less digits than its factorization.

225484938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288 (or 7282 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 225484938 is about 15016.1558995636. The cubic root of 225484938 is about 608.6568476184.

The spelling of 225484938 in words is "two hundred twenty-five million, four hundred eighty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1494 1743 2241 3486 4482 5229 7187 10458 14374 15687 21561 31374 43122 50309 64683 100618 129366 150927 194049 301854 388098 452781 596521 905562 1193042 1358343 1789563 2716686 3579126 4175647 5368689 8351294 10737378 12526941 16106067 25053882 32212134 37580823 75161646 112742469 225484938