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164241225 = 325219103373
BaseRepresentation
bin10011100101000…
…01111101001001
3102110001022121100
421302201331021
5314021204400
624144132013
74033012251
oct1162417511
9373038540
10164241225
1184789955
1247007009
1328047075
1417b54961
15e644100
hex9ca1f49

164241225 has 72 divisors (see below), whose sum is σ = 313501760. Its totient is φ = 81959040.

The previous prime is 164241221. The next prime is 164241241. The reversal of 164241225 is 522142461.

164241225 is a `hidden beast` number, since 1 + 642 + 4 + 12 + 2 + 5 = 666.

164241225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164241225 - 22 = 164241221 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (164241221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440139 + ... + 440511.

Almost surely, 2164241225 is an apocalyptic number.

164241225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164241225 is a deficient number, since it is larger than the sum of its proper divisors (149260535).

164241225 is a wasteful number, since it uses less digits than its factorization.

164241225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 164241225 is about 12815.6632680482. The cubic root of 164241225 is about 547.6386088041.

Adding to 164241225 its reverse (522142461), we get a palindrome (686383686).

The spelling of 164241225 in words is "one hundred sixty-four million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 103 171 225 285 309 373 475 515 855 927 1119 1425 1545 1865 1957 2575 3357 4275 4635 5595 5871 7087 7725 9325 9785 16785 17613 21261 23175 27975 29355 35435 38419 48925 63783 83925 88065 106305 115257 146775 177175 192095 318915 345771 440325 531525 576285 729961 960475 1594575 1728855 2189883 2881425 3649805 6569649 8644275 10949415 18249025 32848245 54747075 164241225