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234375122500 = 2254132170969
BaseRepresentation
bin1101101001000111011…
…0001000111001000100
3211101222000010211122121
43122101312020321010
512320000012410000
6255400452135324
722635014446021
oct3322166107104
9741860124577
10234375122500
1190441712552
123950b907544
1319141c46a4c
14b4b560a548
15616b220b1a
hex3691d88e44

234375122500 has 60 divisors (see below), whose sum is σ = 512926732780. Its totient is φ = 93677760000.

The previous prime is 234375122447. The next prime is 234375122507. The reversal of 234375122500 is 5221573432.

It can be written as a sum of positive squares in 10 ways, for example, as 179565757504 + 54809364996 = 423752^2 + 234114^2 .

It is not an unprimeable number, because it can be changed into a prime (234375122507) 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 19 ways as a sum of consecutive naturals, for example, 3267016 + ... + 3337984.

Almost surely, 2234375122500 is an apocalyptic number.

234375122500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234375122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256463366390).

234375122500 is an abundant number, since it is smaller than the sum of its proper divisors (278551610280).

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

234375122500 is a wasteful number, since it uses less digits than its factorization.

234375122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72314 (or 72297 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 234375122500 its reverse (5221573432), we get a palindrome (239596695932).

The spelling of 234375122500 in words is "two hundred thirty-four billion, three hundred seventy-five million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1321 2500 2642 5284 6605 13210 26420 33025 66050 70969 132100 141938 165125 283876 330250 354845 660500 709690 825625 1419380 1651250 1774225 3302500 3548450 7096900 8871125 17742250 35484500 44355625 88711250 93750049 177422500 187500098 375000196 468750245 937500490 1875000980 2343751225 4687502450 9375004900 11718756125 23437512250 46875024500 58593780625 117187561250 234375122500