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225117441 = 3313760859
BaseRepresentation
bin11010110101100…
…00010100000001
3120200121011002000
431122300110001
5430112224231
634201014213
75402316033
oct1532602401
9520534060
10225117441
1110608907a
1263484369
133783cab3
1421c7dc53
1514b6b6e6
hexd6b0501

225117441 has 16 divisors (see below), whose sum is σ = 335947200. Its totient is φ = 148980384.

The previous prime is 225117421. The next prime is 225117457. The reversal of 225117441 is 144711522.

It is not a de Polignac number, because 225117441 - 27 = 225117313 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (225117421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26731 + ... + 34128.

It is an arithmetic number, because the mean of its divisors is an integer number (20996700).

Almost surely, 2225117441 is an apocalyptic number.

It is an amenable number.

225117441 is a deficient number, since it is larger than the sum of its proper divisors (110829759).

225117441 is a wasteful number, since it uses less digits than its factorization.

225117441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61005 (or 60999 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 225117441 is about 15003.9141893041. The cubic root of 225117441 is about 608.3260033561.

Adding to 225117441 its reverse (144711522), we get a palindrome (369828963).

The spelling of 225117441 in words is "two hundred twenty-five million, one hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 9 27 137 411 1233 3699 60859 182577 547731 1643193 8337683 25013049 75039147 225117441