205135224 has 64 divisors (see below), whose sum is σ = 587347200. Its totient is φ = 58485504.

The previous prime is 205135207. The next prime is 205135237. The reversal of 205135224 is 422531502.

205135224 is digitally balanced in base 2, 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 205135194 and 205135203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102667 + ... + 104645.

It is an arithmetic number, because the mean of its divisors is an integer number (9177300).

Almost surely, 2^205135224 is an apocalyptic number.

205135224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205135224 is an abundant number, since it is smaller than the sum of its proper divisors (382211976).

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

205135224 is a wasteful number, since it uses less digits than its factorization.

205135224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2608 counting only the distinct ones).

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

The square root of 205135224 is about 14322.5425117191. The cubic root of 205135224 is about 589.7664727433.

Adding to 205135224 its reverse (422531502), we get a palindrome (627666726).

The spelling of 205135224 in words is "two hundred five million, one hundred thirty-five thousand, two hundred twenty-four".