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225313560600 = 23352598762723
BaseRepresentation
bin1101000111010110111…
…1000001100000011000
3210112120111012210120220
43101311233001200120
512142420232414400
6251301351320040
722164323444142
oct3216557014030
9715514183526
10225313560600
11876116a3a17
1237801080020
13183297c08bb
14ac95d6bc92
155cda9337a0
hex3475bc1818

225313560600 has 96 divisors (see below), whose sum is σ = 698599840320. Its totient is φ = 60072622720.

The previous prime is 225313560587. The next prime is 225313560613. The reversal of 225313560600 is 6065313522.

It is an interprime number because it is at equal distance from previous prime (225313560587) and next prime (225313560613).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3560839 + ... + 3623561.

It is an arithmetic number, because the mean of its divisors is an integer number (7277081670).

Almost surely, 2225313560600 is an apocalyptic number.

225313560600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225313560600 is an abundant number, since it is smaller than the sum of its proper divisors (473286279720).

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

225313560600 is a wasteful number, since it uses less digits than its factorization.

225313560600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68729 (or 68720 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 225313560600 in words is "two hundred twenty-five billion, three hundred thirteen million, five hundred sixty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5987 11974 17961 23948 29935 35922 47896 59870 62723 71844 89805 119740 125446 143688 149675 179610 188169 239480 250892 299350 313615 359220 376338 449025 501784 598700 627230 718440 752676 898050 940845 1197400 1254460 1505352 1568075 1796100 1881690 2508920 3136150 3592200 3763380 4704225 6272300 7526760 9408450 12544600 18816900 37633800 375522601 751045202 1126567803 1502090404 1877613005 2253135606 3004180808 3755226010 4506271212 5632839015 7510452020 9012542424 9388065025 11265678030 15020904040 18776130050 22531356060 28164195075 37552260100 45062712120 56328390150 75104520200 112656780300 225313560600