205149924 has 72 divisors (see below), whose sum is σ = 605299968. Its totient is φ = 57363840.

The previous prime is 205149911. The next prime is 205149977. The reversal of 205149924 is 429941502.

205149924 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 (36).

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, 3184 + ... + 20504.

It is an arithmetic number, because the mean of its divisors is an integer number (8406944).

Almost surely, 2^205149924 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 205149924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302649984).

205149924 is an abundant number, since it is smaller than the sum of its proper divisors (400150044).

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

205149924 is a wasteful number, since it uses less digits than its factorization.

205149924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17385 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 205149924 is about 14323.0556795678. The cubic root of 205149924 is about 589.7805599714.

The spelling of 205149924 in words is "two hundred five million, one hundred forty-nine thousand, nine hundred twenty-four".