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225375336 = 233211327701
BaseRepresentation
bin11010110111011…
…11010001101000
3120201002020211200
431123233101220
5430144002321
634210324200
75404441644
oct1533572150
9521066750
10225375336
1110624490a
1263589660
13379002b4
1421d09c24
1514bbcd26
hexd6ef468

225375336 has 48 divisors (see below), whose sum is σ = 615815460. Its totient is φ = 74457600.

The previous prime is 225375313. The next prime is 225375349. The reversal of 225375336 is 633573522.

225375336 is a `hidden beast` number, since 2 + 253 + 75 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196280100 + 29095236 = 14010^2 + 5394^2 .

It is a super-2 number, since 2×2253753362 = 101588084154225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225375336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5715 + ... + 21986.

Almost surely, 2225375336 is an apocalyptic number.

It is an amenable number.

225375336 is an abundant number, since it is smaller than the sum of its proper divisors (390440124).

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

225375336 is a wasteful number, since it uses less digits than its factorization.

225375336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826 (or 27819 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 225375336 is about 15012.5059866766. The cubic root of 225375336 is about 608.5582145420.

The spelling of 225375336 in words is "two hundred twenty-five million, three hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 27701 55402 83103 110804 166206 221608 249309 332412 498618 664824 997236 1994472 3130213 6260426 9390639 12520852 18781278 25041704 28171917 37562556 56343834 75125112 112687668 225375336