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225034560 = 2632578137
BaseRepresentation
bin11010110100111…
…00000101000000
3120200102221101100
431122130011000
5430102101220
634155134400
75401522302
oct1532340500
9520387340
10225034560
11106031883
1263444400
133781115a
1421c5b972
1514b51d90
hexd69c140

225034560 has 84 divisors (see below), whose sum is σ = 774035028. Its totient is φ = 60008448.

The previous prime is 225034541. The next prime is 225034567. The reversal of 225034560 is 65430522.

225034560 is a `hidden beast` number, since 22 + 50 + 34 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 102090816 = 11088^2 + 10104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225034567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36189 + ... + 41948.

Almost surely, 2225034560 is an apocalyptic number.

225034560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225034560 is an abundant number, since it is smaller than the sum of its proper divisors (549000468).

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

225034560 is a wasteful number, since it uses less digits than its factorization.

225034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78160 (or 78147 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225034560 is about 15001.1519557666. The cubic root of 225034560 is about 608.2513388373.

The spelling of 225034560 in words is "two hundred twenty-five million, thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 78137 156274 234411 312548 390685 468822 625096 703233 781370 937644 1172055 1250192 1406466 1562740 1875288 2344110 2500384 2812932 3125480 3516165 3750576 4688220 5000768 5625864 6250960 7032330 7501152 9376440 11251728 12501920 14064660 15002304 18752880 22503456 25003840 28129320 37505760 45006912 56258640 75011520 112517280 225034560