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225866601 = 3223247441
BaseRepresentation
bin11010111011001…
…11001101101001
3120202000012201200
431131213031221
5430310212401
634225034413
75411556132
oct1535471551
9522005650
10225866601
1110654aa14
1263785a09
1337a42a9c
1421dd6c89
1514c68686
hexd767369

225866601 has 18 divisors (see below), whose sum is σ = 341060538. Its totient is φ = 144027840.

The previous prime is 225866561. The next prime is 225866629. The reversal of 225866601 is 106668522.

It can be written as a sum of positive squares in only one way, i.e., 182898576 + 42968025 = 13524^2 + 6555^2 .

It is not a de Polignac number, because 225866601 - 211 = 225864553 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225866671) 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 17 ways as a sum of consecutive naturals, for example, 18960 + ... + 28481.

Almost surely, 2225866601 is an apocalyptic number.

It is an amenable number.

225866601 is a deficient number, since it is larger than the sum of its proper divisors (115193937).

225866601 is a wasteful number, since it uses less digits than its factorization.

225866601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47493 (or 47467 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 225866601 is about 15028.8589387219. The cubic root of 225866601 is about 609.0000647108. Note that the first 4 decimals are identical.

The spelling of 225866601 in words is "two hundred twenty-five million, eight hundred sixty-six thousand, six hundred one".

Divisors: 1 3 9 23 69 207 529 1587 4761 47441 142323 426969 1091143 3273429 9820287 25096289 75288867 225866601