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538631227225 = 527213216132
BaseRepresentation
bin1111101011010001110…
…11000100011101011001
31220111022010200101111001
413311220323010131121
532311104043232400
61051235504305001
753625532614100
oct7655073043531
91814263611431
10538631227225
11198483316273
1288482612161
133ba3c766300
141c0d9acb037
15e027392a6a
hex7d68ec4759

538631227225 has 81 divisors (see below), whose sum is σ = 841832530263. Its totient is φ = 340724442240.

The previous prime is 538631227213. The next prime is 538631227231. The reversal of 538631227225 is 522722136835.

The square root of 538631227225 is 733915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 464879876041 + 73751351184 = 681821^2 + 271572^2 .

It is not a de Polignac number, because 538631227225 - 27 = 538631227097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333930519 + ... + 333932131.

Almost surely, 2538631227225 is an apocalyptic number.

538631227225 is the 733915-th square number.

538631227225 is the 366958-th centered octagonal number.

It is an amenable number.

538631227225 is a deficient number, since it is larger than the sum of its proper divisors (303201303038).

538631227225 is an equidigital number, since it uses as much as digits as its factorization.

538631227225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 1638 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 538631227225 in words is "five hundred thirty-eight billion, six hundred thirty-one million, two hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 1613 2275 3185 4225 5915 8065 8281 11291 15925 20969 29575 40325 41405 56455 79037 104845 146783 207025 272597 282275 395185 524225 733915 1027481 1362985 1908179 1975925 2601769 3669575 5137405 6814925 9540895 13008845 13357253 18212383 25687025 33822997 47704475 65044225 66786265 91061915 127486681 169114985 236760979 333931325 439698961 455309575 637433405 845574925 1183804895 1657326853 2198494805 3077892727 3187167025 5919024475 8286634265 10992474025 15389463635 21545249089 41433171325 76947318175 107726245445 538631227225