205226142 has 64 divisors (see below), whose sum is σ = 479063808. Its totient is φ = 57920000.

The previous prime is 205226083. The next prime is 205226149. The reversal of 205226142 is 241622502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205226149) 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 31 ways as a sum of consecutive naturals, for example, 112417 + ... + 114227.

It is an arithmetic number, because the mean of its divisors is an integer number (7485372).

Almost surely, 2^205226142 is an apocalyptic number.

205226142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205226142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239531904).

205226142 is an abundant number, since it is smaller than the sum of its proper divisors (273837666).

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

205226142 is a wasteful number, since it uses less digits than its factorization.

205226142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 205226142 is about 14325.7161077553. The cubic root of 205226142 is about 589.8535900236.

Adding to 205226142 its reverse (241622502), we get a palindrome (446848644).

The spelling of 205226142 in words is "two hundred five million, two hundred twenty-six thousand, one hundred forty-two".