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225136135760 = 2452814201697
BaseRepresentation
bin1101000110101100101…
…0001100111001010000
3210112010010100200110112
43101223022030321100
512142034322321020
6251232012420452
722160040402434
oct3215312147120
9715103320415
10225136135760
1187530530018
1237771777728
13182cbb0bba3
14ac7a5849c4
155cca0882c5
hex346b28ce50

225136135760 has 20 divisors (see below), whose sum is σ = 523441515828. Its totient is φ = 90054454272.

The previous prime is 225136135739. The next prime is 225136135769. The reversal of 225136135760 is 67531631522.

It can be written as a sum of positive squares in 2 ways, for example, as 117410393104 + 107725742656 = 342652^2 + 328216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225136135769) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1407100769 + ... + 1407100928.

Almost surely, 2225136135760 is an apocalyptic number.

225136135760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225136135760 is an abundant number, since it is smaller than the sum of its proper divisors (298305380068).

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

225136135760 is a wasteful number, since it uses less digits than its factorization.

225136135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814201710 (or 2814201704 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 225136135760 in words is "two hundred twenty-five billion, one hundred thirty-six million, one hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2814201697 5628403394 11256806788 14071008485 22513613576 28142016970 45027227152 56284033940 112568067880 225136135760