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225107127 = 3373109223
BaseRepresentation
bin11010110101011…
…01110010110111
3120200120121221000
431122231302313
5430111412002
634200454343
75402244000
oct1532556267
9520517830
10225107127
11106081353
126347a3b3
13378381ab
1421c7a1a7
1514b6861c
hexd6adcb7

225107127 has 64 divisors (see below), whose sum is σ = 394240000. Its totient is φ = 126880992.

The previous prime is 225107053. The next prime is 225107137. The reversal of 225107127 is 721701522.

225107127 is a `hidden beast` number, since 22 + 510 + 7 + 127 = 666.

It is a de Polignac number, because none of the positive numbers 2k-225107127 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225107127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225107137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009338 + ... + 1009560.

It is an arithmetic number, because the mean of its divisors is an integer number (6160000).

Almost surely, 2225107127 is an apocalyptic number.

225107127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225107127 is a deficient number, since it is larger than the sum of its proper divisors (169132873).

225107127 is a wasteful number, since it uses less digits than its factorization.

225107127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 225107127 is about 15003.5704750569. The cubic root of 225107127 is about 608.3167128421.

Adding to 225107127 its reverse (721701522), we get a palindrome (946808649).

The spelling of 225107127 in words is "two hundred twenty-five million, one hundred seven thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 27 49 63 109 147 189 223 327 343 441 669 763 981 1029 1323 1561 2007 2289 2943 3087 4683 5341 6021 6867 9261 10927 14049 16023 20601 24307 32781 37387 42147 48069 72921 76489 98343 112161 144207 170149 218763 229467 295029 336483 510447 656289 688401 1009449 1191043 1531341 2065203 3573129 4594023 8337301 10719387 25011903 32158161 75035709 225107127