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205335042 = 23113111137
BaseRepresentation
bin11000011110100…
…10101000000010
3112022101002201120
430033102220002
5410031210132
632213013110
75042214303
oct1417225002
9468332646
10205335042
11a59a7290
1258924196
1333704733
141d3b07aa
151306002c
hexc3d2a02

205335042 has 16 divisors (see below), whose sum is σ = 448003872. Its totient is φ = 62222720.

The previous prime is 205335037. The next prime is 205335043. The reversal of 205335042 is 240533502.

205335042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (205335043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555503 + ... + 1555634.

It is an arithmetic number, because the mean of its divisors is an integer number (28000242).

Almost surely, 2205335042 is an apocalyptic number.

205335042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205335042 is an abundant number, since it is smaller than the sum of its proper divisors (242668830).

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

205335042 is a wasteful number, since it uses less digits than its factorization.

205335042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111153.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 205335042 is about 14329.5164607882. The cubic root of 205335042 is about 589.9579037283.

Adding to 205335042 its reverse (240533502), we get a palindrome (445868544).

The spelling of 205335042 in words is "two hundred five million, three hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 3111137 6222274 9333411 18666822 34222507 68445014 102667521 205335042