205423152 has 120 divisors (see below), whose sum is σ = 590347632. Its totient is φ = 61501440.

The previous prime is 205423111. The next prime is 205423157. The reversal of 205423152 is 251324502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (205423157) 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 23 ways as a sum of consecutive naturals, for example, 656148 + ... + 656460.

Almost surely, 2^205423152 is an apocalyptic number.

205423152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205423152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295173816).

205423152 is an abundant number, since it is smaller than the sum of its proper divisors (384924480).

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

205423152 is a wasteful number, since it uses less digits than its factorization.

205423152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205423152 is about 14332.5905543973. The cubic root of 205423152 is about 590.0422760093.

Adding to 205423152 its reverse (251324502), we get a palindrome (456747654).

The spelling of 205423152 in words is "two hundred five million, four hundred twenty-three thousand, one hundred fifty-two".