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225466395 = 35721179353
BaseRepresentation
bin11010111000001…
…01100000011011
3120201020212202020
431130011200123
5430204411040
634212305523
75405301300
oct1534054033
9521225666
10225466395
111062a7270
12636122a3
133793288b
1421d310a7
1514bd9cd0
hexd70581b

225466395 has 96 divisors (see below), whose sum is σ = 464901120. Its totient is φ = 92252160.

The previous prime is 225466361. The next prime is 225466433. The reversal of 225466395 is 593664522.

It is a happy number.

It is not a de Polignac number, because 225466395 - 28 = 225466139 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 638539 + ... + 638891.

It is an arithmetic number, because the mean of its divisors is an integer number (4842720).

Almost surely, 2225466395 is an apocalyptic number.

225466395 is an abundant number, since it is smaller than the sum of its proper divisors (239434725).

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

225466395 is a wasteful number, since it uses less digits than its factorization.

225466395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 225466395 is about 15015.5384518838. The cubic root of 225466395 is about 608.6401626409.

The spelling of 225466395 in words is "two hundred twenty-five million, four hundred sixty-six thousand, three hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 79 105 147 165 231 237 245 353 385 395 539 553 735 869 1059 1155 1185 1617 1659 1765 2471 2607 2695 2765 3871 3883 4345 5295 6083 7413 8085 8295 11613 11649 12355 13035 17297 18249 19355 19415 27181 27887 30415 37065 42581 51891 58065 58245 81543 83661 86485 91245 127743 135905 139435 190267 195209 212905 259455 306757 407715 418305 570801 585627 638715 920271 951335 976045 1366463 1533785 2147299 2854005 2928135 4099389 4601355 6441897 6832315 10736495 15031093 20496945 32209485 45093279 75155465 225466395