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225148119 = 37171921747
BaseRepresentation
bin11010110101101…
…11110011010111
3120200122201011020
431122313303113
5430114214434
634201412223
75402504340
oct1532676327
9520581136
10225148119
111060aa129
126349a073
1337850a51
1421c8b0c7
1514b75849
hexd6b7cd7

225148119 has 48 divisors (see below), whose sum is σ = 383609088. Its totient is φ = 114649344.

The previous prime is 225148117. The next prime is 225148123. The reversal of 225148119 is 911841522.

It is not a de Polignac number, because 225148119 - 21 = 225148117 is a prime.

It is a super-2 number, since 2×2251481192 = 101383350978476322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225148119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225148117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128004 + ... + 129750.

It is an arithmetic number, because the mean of its divisors is an integer number (7991856).

Almost surely, 2225148119 is an apocalyptic number.

225148119 is a deficient number, since it is larger than the sum of its proper divisors (158460969).

225148119 is a wasteful number, since it uses less digits than its factorization.

225148119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1793 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 225148119 is about 15004.9364877030. The cubic root of 225148119 is about 608.3536354184.

The spelling of 225148119 in words is "two hundred twenty-five million, one hundred forty-eight thousand, one hundred nineteen".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 361 399 969 1083 1747 2261 2527 5241 6137 6783 7581 12229 18411 29699 33193 36687 42959 89097 99579 128877 207893 232351 564281 623679 630667 697053 1692843 1892001 3949967 4414669 10721339 11849901 13244007 32164017 75049373 225148119