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225243837 = 327213101389
BaseRepresentation
bin11010110110011…
…11001010111101
3120200211120110100
431123033022331
5430130300322
634203431313
75403353400
oct1533171275
9520746410
10225243837
11106165035
1263525539
13378854a0
1421cb3d37
1514b93dac
hexd6cf2bd

225243837 has 72 divisors (see below), whose sum is σ = 412677720. Its totient is φ = 117331200.

The previous prime is 225243779. The next prime is 225243857. The reversal of 225243837 is 738342522.

It can be written as a sum of positive squares in 4 ways, for example, as 26687556 + 198556281 = 5166^2 + 14091^2 .

It is not a de Polignac number, because 225243837 - 28 = 225243581 is a prime.

It is a super-2 number, since 2×2252438372 = 101469572212965138, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225243857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 578839 + ... + 579227.

It is an arithmetic number, because the mean of its divisors is an integer number (5731635).

Almost surely, 2225243837 is an apocalyptic number.

It is an amenable number.

225243837 is a deficient number, since it is larger than the sum of its proper divisors (187433883).

225243837 is a wasteful number, since it uses less digits than its factorization.

225243837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 225243837 is about 15008.1256991005. The cubic root of 225243837 is about 608.4398337007.

The spelling of 225243837 in words is "two hundred twenty-five million, two hundred forty-three thousand, eight hundred thirty-seven".

Divisors: 1 3 7 9 13 21 39 49 63 91 101 117 147 273 303 389 441 637 707 819 909 1167 1313 1911 2121 2723 3501 3939 4949 5057 5733 6363 8169 9191 11817 14847 15171 19061 24507 27573 35399 39289 44541 45513 57183 64337 82719 106197 117867 171549 193011 247793 275023 318591 353601 510757 579033 743379 825069 1532271 1925161 2230137 2475207 3575299 4596813 5775483 10725897 17326449 25027093 32177691 75081279 225243837