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225952083 = 32721730139
BaseRepresentation
bin11010111011111…
…00000101010011
3120202011112222200
431131330011103
5430320431313
634230534243
75412363300
oct1535740523
9522145880
10225952083
111065a9165
1263807383
1337a72976
142201a0a7
1514c83b73
hexd77c153

225952083 has 36 divisors (see below), whose sum is σ = 402007320. Its totient is φ = 121516416.

The previous prime is 225952039. The next prime is 225952141. The reversal of 225952083 is 380259522.

225952083 is a `hidden beast` number, since 2 + 2 + 59 + 520 + 83 = 666.

It is not a de Polignac number, because 225952083 - 28 = 225951827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225952003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7573 + ... + 22566.

It is an arithmetic number, because the mean of its divisors is an integer number (11166870).

Almost surely, 2225952083 is an apocalyptic number.

225952083 is a deficient number, since it is larger than the sum of its proper divisors (176055237).

225952083 is a wasteful number, since it uses less digits than its factorization.

225952083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30176 (or 30166 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225952083 is about 15031.7025981756. The cubic root of 225952083 is about 609.0768828817.

The spelling of 225952083 in words is "two hundred twenty-five million, nine hundred fifty-two thousand, eighty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 30139 90417 210973 271251 512363 632919 1476811 1537089 1898757 3586541 4430433 4611267 10759623 13291299 25105787 32278869 75317361 225952083