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225857079 = 357232251
BaseRepresentation
bin11010111011001…
…00111000110111
3120201222201200000
431131210320313
5430304411304
634224522343
75411516310
oct1535447067
9521881600
10225857079
11106543848
12637803b3
1337a3b656
1421dd3607
1514c65939
hexd764e37

225857079 has 72 divisors (see below), whose sum is σ = 405804672. Its totient is φ = 122958000.

The previous prime is 225857077. The next prime is 225857081. The reversal of 225857079 is 970758522.

It is a happy number.

225857079 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 570 + 79 = 666.

It is an interprime number because it is at equal distance from previous prime (225857077) and next prime (225857081).

It is not a de Polignac number, because 225857079 - 21 = 225857077 is a prime.

It is a super-2 number, since 2×2258570792 = 102022840268824482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225857077) 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 71 ways as a sum of consecutive naturals, for example, 899704 + ... + 899954.

It is an arithmetic number, because the mean of its divisors is an integer number (5636176).

Almost surely, 2225857079 is an apocalyptic number.

225857079 is a deficient number, since it is larger than the sum of its proper divisors (179947593).

225857079 is an equidigital number, since it uses as much as digits as its factorization.

225857079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 225857079 is about 15028.5421448655. The cubic root of 225857079 is about 608.9915065912.

The spelling of 225857079 in words is "two hundred twenty-five million, eight hundred fifty-seven thousand, seventy-nine".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 251 483 529 567 621 753 1449 1587 1701 1757 1863 2259 3703 4347 4761 5271 5589 5773 6777 11109 13041 14283 15813 17319 20331 33327 39123 40411 42849 47439 51957 60993 99981 121233 128547 132779 142317 155871 299943 363699 398337 426951 467613 899829 929453 1091097 1195011 1402839 2788359 3273291 3585033 8365077 9819873 10755099 25095231 32265297 75285693 225857079