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225761003 = 13173121063
BaseRepresentation
bin11010111010011…
…01011011101011
3120201210211212122
431131031123223
5430243323003
634222501455
75410636226
oct1535153353
9521724778
10225761003
11106488646
126373488b
1337a069c0
1421daa5bd
1514c47238
hexd74d6eb

225761003 has 24 divisors (see below), whose sum is σ = 266251104. Its totient is φ = 189630720.

The previous prime is 225760991. The next prime is 225761023. The reversal of 225761003 is 300167522.

It is not a de Polignac number, because 225761003 - 210 = 225759979 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225761023) 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, 211850 + ... + 212912.

It is an arithmetic number, because the mean of its divisors is an integer number (11093796).

Almost surely, 2225761003 is an apocalyptic number.

225761003 is a deficient number, since it is larger than the sum of its proper divisors (40490101).

225761003 is a wasteful number, since it uses less digits than its factorization.

225761003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 225761003 is about 15025.3453537681. The cubic root of 225761003 is about 608.9051425854.

The spelling of 225761003 in words is "two hundred twenty-five million, seven hundred sixty-one thousand, three".

Divisors: 1 13 17 31 221 403 527 961 1063 6851 12493 13819 16337 18071 32953 212381 234923 428389 560201 1021543 7282613 13280059 17366231 225761003