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225842237973 = 321131200336739
BaseRepresentation
bin1101001001010100111…
…1110001001000010101
3210120221100000101121100
43102111033301020111
512200011103103343
6251430034540313
722213403230452
oct3222517611025
9716840011540
10225842237973
1187863068070
123792a137699
13183b21a6951
14ad0626a829
155d1c0639d3
hex34953f1215

225842237973 has 48 divisors (see below), whose sum is σ = 367545784320. Its totient is φ = 132389056800.

The previous prime is 225842237941. The next prime is 225842237989. The reversal of 225842237973 is 379732248522.

225842237973 is a `hidden beast` number, since 2 + 2 + 584 + 22 + 37 + 9 + 7 + 3 = 666.

It is not a de Polignac number, because 225842237973 - 25 = 225842237941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225842257973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128838 + ... + 6165576.

It is an arithmetic number, because the mean of its divisors is an integer number (7657203840).

Almost surely, 2225842237973 is an apocalyptic number.

It is an amenable number.

225842237973 is a deficient number, since it is larger than the sum of its proper divisors (141703546347).

225842237973 is a wasteful number, since it uses less digits than its factorization.

225842237973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38790 (or 38787 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 225842237973 in words is "two hundred twenty-five billion, eight hundred forty-two million, two hundred thirty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 2003 3069 6009 18027 22033 36739 62093 66099 110217 186279 198297 330651 404129 558837 683023 1138909 1212387 2049069 3416727 3637161 6147207 10250181 12527999 37583997 73588217 112751991 220764651 662293953 809470387 2281234727 2428411161 6843704181 7285233483 20531112543 25093581997 75280745991 225842237973