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205160022 = 23258719417
BaseRepresentation
bin11000011101001…
…11111001010110
3112022001012122100
430032213321112
5410010110042
632205142530
75040555114
oct1416477126
9468035570
10205160022
11a5897841
125885aa46
1333672b82
141d366ab4
151302824c
hexc3a7e56

205160022 has 24 divisors (see below), whose sum is σ = 445293576. Its totient is φ = 68266656.

The previous prime is 205159993. The next prime is 205160047. The reversal of 205160022 is 220061502.

205160022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205159977 and 205160004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858 + ... + 20274.

It is an arithmetic number, because the mean of its divisors is an integer number (18553899).

Almost surely, 2205160022 is an apocalyptic number.

205160022 is an abundant number, since it is smaller than the sum of its proper divisors (240133554).

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

205160022 is a wasteful number, since it uses less digits than its factorization.

205160022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20012 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205160022 is about 14323.4081838088. The cubic root of 205160022 is about 589.7902366447.

The spelling of 205160022 in words is "two hundred five million, one hundred sixty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 587 1174 1761 3522 5283 10566 19417 38834 58251 116502 174753 349506 11397779 22795558 34193337 68386674 102580011 205160022