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225961038 = 232101124291
BaseRepresentation
bin11010111011111…
…10010001001110
3120202012000021100
431131332101032
5430321223123
634231043530
75412431352
oct1535762116
9522160240
10225961038
11106604966
12638105a6
1337a76a74
142201d462
1514c86643
hexd77e44e

225961038 has 24 divisors (see below), whose sum is σ = 494433576. Its totient is φ = 74574000.

The previous prime is 225961037. The next prime is 225961111. The reversal of 225961038 is 830169522.

225961038 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 610 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225960993 and 225961011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225961031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60328 + ... + 63963.

It is an arithmetic number, because the mean of its divisors is an integer number (20601399).

Almost surely, 2225961038 is an apocalyptic number.

225961038 is an abundant number, since it is smaller than the sum of its proper divisors (268472538).

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

225961038 is a wasteful number, since it uses less digits than its factorization.

225961038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124400 (or 124397 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225961038 is about 15032.0004656732. Note that the first 3 decimals coincide. The cubic root of 225961038 is about 609.0849291474.

The spelling of 225961038 in words is "two hundred twenty-five million, nine hundred sixty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 124291 248582 372873 745746 1118619 2237238 12553391 25106782 37660173 75320346 112980519 225961038