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225224041 = 72171012677
BaseRepresentation
bin11010110110010…
…10010101101001
3120200210120022011
431123022111221
5430124132131
634203155521
75403241600
oct1533122551
9520716264
10225224041
11106151179
1263515ba1
1337879483
1421caaa37
1514b8d0b1
hexd6ca569

225224041 has 24 divisors (see below), whose sum is σ = 280258056. Its totient is φ = 179827200.

The previous prime is 225224033. The next prime is 225224059. The reversal of 225224041 is 140422522.

It can be written as a sum of positive squares in 4 ways, for example, as 53509225 + 171714816 = 7315^2 + 13104^2 .

It is not a de Polignac number, because 225224041 - 23 = 225224033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225224071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82795 + ... + 85471.

It is an arithmetic number, because the mean of its divisors is an integer number (11677419).

Almost surely, 2225224041 is an apocalyptic number.

It is an amenable number.

225224041 is a deficient number, since it is larger than the sum of its proper divisors (55034015).

225224041 is a wasteful number, since it uses less digits than its factorization.

225224041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 225224041 is about 15007.4661752076. The cubic root of 225224041 is about 608.4220085325.

Adding to 225224041 its reverse (140422522), we get a palindrome (365646563).

The spelling of 225224041 in words is "two hundred twenty-five million, two hundred twenty-four thousand, forty-one".

Divisors: 1 7 17 49 101 119 707 833 1717 2677 4949 12019 18739 45509 84133 131173 270377 318563 1892639 2229941 4596409 13248473 32174863 225224041