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205435021 = 11177115473
BaseRepresentation
bin11000011111010…
…11000010001101
3112022120011212111
430033223002031
5410042410041
632215104021
75043111631
oct1417530215
9468504774
10205435021
11a5a65410
1258972011
133373b0ac
141d3d8dc1
151307e981
hexc3eb08d

205435021 has 16 divisors (see below), whose sum is σ = 240651648. Its totient is φ = 173286400.

The previous prime is 205435001. The next prime is 205435099. The reversal of 205435021 is 120534502.

205435021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205435021 - 219 = 204910733 is a prime.

It is a super-3 number, since 3×2054350213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205434983 and 205435001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205435001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5541 + ... + 21013.

It is an arithmetic number, because the mean of its divisors is an integer number (15040728).

Almost surely, 2205435021 is an apocalyptic number.

It is an amenable number.

205435021 is a deficient number, since it is larger than the sum of its proper divisors (35216627).

205435021 is a wasteful number, since it uses less digits than its factorization.

205435021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15572.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205435021 is about 14333.0046047575. The cubic root of 205435021 is about 590.0536396698.

Adding to 205435021 its reverse (120534502), we get a palindrome (325969523).

The spelling of 205435021 in words is "two hundred five million, four hundred thirty-five thousand, twenty-one".

Divisors: 1 11 17 71 187 781 1207 13277 15473 170203 263041 1098583 2893451 12084413 18675911 205435021