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205240122 = 23321118013
BaseRepresentation
bin11000011101110…
…11011100111010
3112022012021112000
430032323130322
5410020140442
632211001430
75041340463
oct1416733472
9468167460
10205240122
11a5941a3a
1258899276
13336a0479
141d387d6a
1513041d4c
hexc3bb73a

205240122 has 32 divisors (see below), whose sum is σ = 458276160. Its totient is φ = 68085360.

The previous prime is 205240121. The next prime is 205240127. The reversal of 205240122 is 221042502.

205240122 is a `hidden beast` number, since 20 + 524 + 0 + 122 = 666.

205240122 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 = 205240095 and 205240104.

It is not an unprimeable number, because it can be changed into a prime (205240121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2388 + ... + 20400.

It is an arithmetic number, because the mean of its divisors is an integer number (14321130).

Almost surely, 2205240122 is an apocalyptic number.

205240122 is an abundant number, since it is smaller than the sum of its proper divisors (253036038).

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

205240122 is a wasteful number, since it uses less digits than its factorization.

205240122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18235 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 205240122 is about 14326.2040331694. The cubic root of 205240122 is about 589.8669833237.

Adding to 205240122 its reverse (221042502), we get a palindrome (426282624).

The spelling of 205240122 in words is "two hundred five million, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3798 5697 11394 18013 36026 54039 108078 162117 324234 486351 972702 3800743 7601486 11402229 22804458 34206687 68413374 102620061 205240122