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225020304645045 = 35721326647883777
BaseRepresentation
bin110011001010011110011111…
…010100110101101110110101
31002111201201201220222112022220
4303022132133110311232311
5213443213040442120140
62114324522331112553
765253115626622500
oct6312363724655665
91074651656875286
10225020304645045
1165775636783228
12212a25388a2759
139873429177930
143d7d080172137
151b03463edcbd0
hexcca79f535bb5

225020304645045 has 96 divisors (see below), whose sum is σ = 451047145989888. Its totient is φ = 94949952233472.

The previous prime is 225020304645023. The next prime is 225020304645047. The reversal of 225020304645045 is 540546403020522.

It is not a de Polignac number, because 225020304645045 - 29 = 225020304644533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225020304644988 and 225020304645006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225020304645047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254170197 + ... + 255053973.

It is an arithmetic number, because the mean of its divisors is an integer number (4698407770728).

Almost surely, 2225020304645045 is an apocalyptic number.

It is an amenable number.

225020304645045 is an abundant number, since it is smaller than the sum of its proper divisors (226026841344843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225020304645045 is a wasteful number, since it uses less digits than its factorization.

225020304645045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910459 (or 910452 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 225020304645045 its reverse (540546403020522), we get a palindrome (765566707665567).

The spelling of 225020304645045 in words is "two hundred twenty-five trillion, twenty billion, three hundred four million, six hundred forty-five thousand, forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 26647 79941 133235 186529 346411 399705 559587 883777 932645 1039233 1305703 1732055 2424877 2651331 2797935 3917109 4418885 5196165 6186439 6528515 7274631 11489101 12124385 13256655 16974139 18559317 19585545 30932195 34467303 36373155 43305073 50922417 57445505 80423707 84870695 92796585 129915219 172336515 216525365 241271121 254612085 402118535 562965949 649576095 1206355605 1688897847 2814829745 8444489235 23550005719 70650017157 117750028595 164850040033 306150074347 353250085785 494550120099 824250200165 918450223041 1153950280231 1530750371735 2143050520429 2472750600495 3461850840693 4592251115205 5769751401155 6429151561287 10715252602145 15001353643003 17309254203465 32145757806435 45004060929009 75006768215015 225020304645045