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225441321525 = 33527227210187
BaseRepresentation
bin1101000111110101011…
…0011001001000110101
3210112220101121201122000
43101331112121020311
512143200434242100
6251322153525513
722200434421030
oct3217526311065
9715811551560
10225441321525
1187677826662
1237837a13899
131834a104194
14aca8d08017
155ce6c6d900
hex347d599235

225441321525 has 96 divisors (see below), whose sum is σ = 475394810880. Its totient is φ = 102604397760.

The previous prime is 225441321491. The next prime is 225441321527. The reversal of 225441321525 is 525123144522.

225441321525 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 413 + 215 + 25 = 666.

It is not a de Polignac number, because 225441321525 - 26 = 225441321461 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225441321525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225441321527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 967482 + ... + 1177668.

It is an arithmetic number, because the mean of its divisors is an integer number (4952029280).

Almost surely, 2225441321525 is an apocalyptic number.

225441321525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225441321525 is an abundant number, since it is smaller than the sum of its proper divisors (249953489355).

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

225441321525 is a wasteful number, since it uses less digits than its factorization.

225441321525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210440 (or 210429 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 225441321525 in words is "two hundred twenty-five billion, four hundred forty-one million, three hundred twenty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 227 315 525 675 681 945 1135 1575 1589 2043 3405 4725 4767 5675 6129 7945 10215 14301 17025 23835 30645 39725 42903 51075 71505 119175 153225 210187 214515 357525 630561 1050935 1072575 1471309 1891683 3152805 4413927 5254675 5675049 7356545 9458415 13241781 15764025 22069635 28375245 36782725 39725343 47292075 47712449 66208905 110348175 141876225 143137347 198626715 238562245 331044525 333987143 429412041 715686735 993133575 1001961429 1192811225 1288236123 1669935715 2147060205 3005884287 3578433675 5009807145 6441180615 8349678575 9017652861 10735301025 15029421435 25049035725 32205903075 45088264305 75147107175 225441321525