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233414433140 = 22572238177993
BaseRepresentation
bin1101100101100010010…
…1011001100101110100
3211022111001102202121012
43121120211121211310
512311013043330030
6255121253211352
722602140642300
oct3313045314564
9738431382535
10233414433140
118aa993a93a9
12392a2030b58
131901abc16c5
14b423bb2d00
156111c07095
hex3658959974

233414433140 has 36 divisors (see below), whose sum is σ = 570198117636. Its totient is φ = 80027805312.

The previous prime is 233414433127. The next prime is 233414433143. The reversal of 233414433140 is 41334414332.

233414433140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 89533805284 + 143880627856 = 299222^2 + 379316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233414433097 and 233414433106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233414433143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119088017 + ... + 119089976.

It is an arithmetic number, because the mean of its divisors is an integer number (15838836601).

Almost surely, 2233414433140 is an apocalyptic number.

233414433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233414433140 is an abundant number, since it is smaller than the sum of its proper divisors (336783684496).

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

233414433140 is a wasteful number, since it uses less digits than its factorization.

233414433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238178016 (or 238178007 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 233414433140 its reverse (41334414332), we get a palindrome (274748847472).

The spelling of 233414433140 in words is "two hundred thirty-three billion, four hundred fourteen million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 238177993 476355986 952711972 1190889965 1667245951 2381779930 3334491902 4763559860 6668983804 8336229755 11670721657 16672459510 23341443314 33344919020 46682886628 58353608285 116707216570 233414433140