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225354520413 = 3411242735381
BaseRepresentation
bin1101000111100000101…
…1010001011101011101
3210112200100021202220000
43101320023101131131
512143011224123123
6251305413244513
722165331550411
oct3217013213535
9715610252800
10225354520413
118763282a700
1237812933739
1318335132289
14ac9b590d41
155cde324b43
hex34782d175d

225354520413 has 60 divisors (see below), whose sum is σ = 370181936124. Its totient is φ = 136521158400.

The previous prime is 225354520411. The next prime is 225354520453. The reversal of 225354520413 is 314025453522.

225354520413 is a `hidden beast` number, since 2 + 2 + 53 + 545 + 20 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67124000889 + 158230519524 = 259083^2 + 397782^2 .

It is not a de Polignac number, because 225354520413 - 21 = 225354520411 is a prime.

It is a super-3 number, since 3×2253545204133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225354520411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41876983 + ... + 41882363.

Almost surely, 2225354520413 is an apocalyptic number.

It is an amenable number.

225354520413 is a deficient number, since it is larger than the sum of its proper divisors (144827415711).

225354520413 is a wasteful number, since it uses less digits than its factorization.

225354520413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9688 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 225354520413 its reverse (314025453522), we get a palindrome (539379973935).

The spelling of 225354520413 in words is "two hundred twenty-five billion, three hundred fifty-four million, five hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 4273 5381 9801 12819 16143 38457 47003 48429 59191 115371 141009 145287 177573 346113 423027 435861 517033 532719 651101 1269081 1551099 1598157 1953303 3807243 4653297 4794471 5859909 13959891 17579727 22993013 41879673 52739181 68979039 206937117 252923143 620811351 758769429 1862434053 2276308287 2782154573 6828924861 8346463719 20486774583 25039391157 75118173471 225354520413