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225824101 = 19103257449
BaseRepresentation
bin11010111010111…
…00110101100101
3120201221001102121
431131130311211
5430302332401
634224105541
75411321206
oct1535346545
9521831377
10225824101
11106520a98
12637652b1
1337a29639
1421dc55ad
1514c5aca1
hexd75cd65

225824101 has 16 divisors (see below), whose sum is σ = 241488000. Its totient is φ = 210567168.

The previous prime is 225824099. The next prime is 225824111. The reversal of 225824101 is 101428522.

It is a cyclic number.

It is not a de Polignac number, because 225824101 - 21 = 225824099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225824111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502725 + ... + 503173.

It is an arithmetic number, because the mean of its divisors is an integer number (15093000).

Almost surely, 2225824101 is an apocalyptic number.

It is an amenable number.

225824101 is a deficient number, since it is larger than the sum of its proper divisors (15663899).

225824101 is a wasteful number, since it uses less digits than its factorization.

225824101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 225824101 is about 15027.4449258681. Note that the first 3 decimals coincide. The cubic root of 225824101 is about 608.9618649855.

The spelling of 225824101 in words is "two hundred twenty-five million, eight hundred twenty-four thousand, one hundred one".

Divisors: 1 19 103 257 449 1957 4883 8531 26471 46247 115393 502949 878693 2192467 11885479 225824101