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225255244432 = 24174179255679
BaseRepresentation
bin1101000111001001000…
…0100100001010010000
3210112102102111000211211
43101302100210022100
512142310320310212
6251251505345504
722163014662151
oct3216220441220
9715372430754
10225255244432
1187591793139
12377a5638294
131831a6b31aa
14ac8c30b928
155cd57649a7
hex3472424290

225255244432 has 80 divisors (see below), whose sum is σ = 479369318400. Its totient is φ = 102107566080.

The previous prime is 225255244429. The next prime is 225255244457. The reversal of 225255244432 is 234442552522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753169 + ... + 1008847.

It is an arithmetic number, because the mean of its divisors is an integer number (5992116480).

Almost surely, 2225255244432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225255244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239684659200).

225255244432 is an abundant number, since it is smaller than the sum of its proper divisors (254114073968).

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

225255244432 is a wasteful number, since it uses less digits than its factorization.

225255244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255824 (or 255818 counting only the distinct ones).

The product of its digits is 768000, while the sum is 40.

Adding to 225255244432 its reverse (234442552522), we get a palindrome (459697796954).

The spelling of 225255244432 in words is "two hundred twenty-five billion, two hundred fifty-five million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 41 68 79 82 136 158 164 272 316 328 632 656 697 1264 1343 1394 2686 2788 3239 5372 5576 6478 10744 11152 12956 21488 25912 51824 55063 110126 220252 255679 440504 511358 881008 1022716 2045432 4090864 4346543 8693086 10482839 17386172 20198641 20965678 34772344 40397282 41931356 69544688 80794564 83862712 161589128 167725424 178208263 323178256 343376897 356416526 686753794 712833052 828144281 1373507588 1425666104 1656288562 2747015176 2851332208 3312577124 5494030352 6625154248 13250308496 14078452777 28156905554 56313811108 112627622216 225255244432