205146348 has 48 divisors (see below), whose sum is σ = 540207360. Its totient is φ = 60020800.

The previous prime is 205146323. The next prime is 205146349. The reversal of 205146348 is 843641502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (205146349) 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, 22968 + ... + 30623.

It is an arithmetic number, because the mean of its divisors is an integer number (11254320).

Almost surely, 2^205146348 is an apocalyptic number.

It is an amenable number.

205146348 is an abundant number, since it is smaller than the sum of its proper divisors (335061012).

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

205146348 is a wasteful number, since it uses less digits than its factorization.

205146348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53638 (or 53636 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 205146348 is about 14322.9308453263. The cubic root of 205146348 is about 589.7771330995. Note that the first 3 decimals are identical.

It can be divided in two parts, 20514 and 6348, that added together give a palindrome (26862).

The spelling of 205146348 in words is "two hundred five million, one hundred forty-six thousand, three hundred forty-eight".