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205616442 = 23192337741
BaseRepresentation
bin11000100000101…
…11010100111010
3112022220101201210
430100113110322
5410114211232
632223023550
75044465563
oct1420272472
9468811653
10205616442
11a6079749
1258a3abb6
13337a2845
141d44516a
15130b85cc
hexc41753a

205616442 has 32 divisors (see below), whose sum is σ = 434790720. Its totient is φ = 64644480.

The previous prime is 205616441. The next prime is 205616449. The reversal of 205616442 is 244616502.

It is not an unprimeable number, because it can be changed into a prime (205616441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22692 + ... + 30432.

It is an arithmetic number, because the mean of its divisors is an integer number (13587210).

Almost surely, 2205616442 is an apocalyptic number.

205616442 is an abundant number, since it is smaller than the sum of its proper divisors (229174278).

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

205616442 is a wasteful number, since it uses less digits than its factorization.

205616442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 205616442 is about 14339.3319928091. The cubic root of 205616442 is about 590.2272819642.

The spelling of 205616442 in words is "two hundred five million, six hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 233 466 699 1398 4427 7741 8854 13281 15482 23223 26562 46446 147079 294158 441237 882474 1803653 3607306 5410959 10821918 34269407 68538814 102808221 205616442