205482112 has 64 divisors (see below), whose sum is σ = 470138400. Its totient is φ = 88473600.

The previous prime is 205482107. The next prime is 205482217. The reversal of 205482112 is 211284502.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22912 + ... + 30592.

Almost surely, 2^205482112 is an apocalyptic number.

205482112 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 205482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235069200).

205482112 is an abundant number, since it is smaller than the sum of its proper divisors (264656288).

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

205482112 is a wasteful number, since it uses less digits than its factorization.

205482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 205482112 is about 14334.6472576063. The cubic root of 205482112 is about 590.0987213911.

The spelling of 205482112 in words is "two hundred five million, four hundred eighty-two thousand, one hundred twelve".