205513224 has 64 divisors (see below), whose sum is σ = 598285440. Its totient is φ = 57607680.

The previous prime is 205513183. The next prime is 205513237. The reversal of 205513224 is 422315502.

205513224 is digitally balanced in base 3, 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 = 205513194 and 205513203.

It is an unprimeable number.

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, 2637 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (9348210).

Almost surely, 2^205513224 is an apocalyptic number.

205513224 is a gapful number since it is divisible by the number (24) 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 205513224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299142720).

205513224 is an abundant number, since it is smaller than the sum of its proper divisors (392772216).

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

205513224 is a wasteful number, since it uses less digits than its factorization.

205513224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23150 (or 23146 counting only the distinct ones).

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

The square root of 205513224 is about 14335.7324193778. The cubic root of 205513224 is about 590.1285021260.

Adding to 205513224 its reverse (422315502), we get a palindrome (627828726).

The spelling of 205513224 in words is "two hundred five million, five hundred thirteen thousand, two hundred twenty-four".