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2234938290841 = 5326724212
BaseRepresentation
bin100000100001011100101…
…100111111001010011001
321220122202200200121100101
4200201130230333022121
5243104123200301331
64430414431535401
7320316566012224
oct40413454771231
97818680617311
102234938290841
11791917445013
1230119038a561
131329a507c309
147a258bb65bb
153d208893061
hex2085cb3f299

2234938290841 has 27 divisors (see below), whose sum is σ = 2317914263133. Its totient is φ = 2154910998240.

The previous prime is 2234938290799. The next prime is 2234938290847. The reversal of 2234938290841 is 1480928394322.

The square root of 2234938290841 is 1494971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 490679235225 + 1744259055616 = 700485^2 + 1320704^2 .

It is a de Polignac number, because none of the positive numbers 2k-2234938290841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2234938290847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5308641811 + ... + 5308642231.

Almost surely, 22234938290841 is an apocalyptic number.

2234938290841 is the 1494971-st square number.

2234938290841 is the 747486-th centered octagonal number.

It is an amenable number.

2234938290841 is a deficient number, since it is larger than the sum of its proper divisors (82975972292).

2234938290841 is an frugal number, since it uses more digits than its factorization.

2234938290841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 2234938290841 in words is "two trillion, two hundred thirty-four billion, nine hundred thirty-eight million, two hundred ninety thousand, eight hundred forty-one".

Divisors: 1 53 67 421 2809 3551 4489 22313 28207 177241 188203 237917 1182589 1494971 1889869 9393773 11875147 12609601 79233463 100163057 497869969 629382791 795634849 5308642021 33357287923 42168646997 2234938290841