205225632 has 144 divisors (see below), whose sum is σ = 624117312. Its totient is φ = 63744000.

The previous prime is 205225621. The next prime is 205225651. The reversal of 205225632 is 236522502.

205225632 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 25 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 205225596 and 205225605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817507 + ... + 817757.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2^205225632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312058656).

205225632 is an abundant number, since it is smaller than the sum of its proper divisors (418891680).

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

205225632 is a wasteful number, since it uses less digits than its factorization.

205225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 205225632 is about 14325.6983075870. The cubic root of 205225632 is about 589.8531014153.

The spelling of 205225632 in words is "two hundred five million, two hundred twenty-five thousand, six hundred thirty-two".