205374192 has 80 divisors (see below), whose sum is σ = 571570560. Its totient is φ = 63334656.

The previous prime is 205374179. The next prime is 205374217. The reversal of 205374192 is 291473502.

205374192 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 36598 + ... + 41834.

It is an arithmetic number, because the mean of its divisors is an integer number (7144632).

Almost surely, 2^205374192 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 205374192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285785280).

205374192 is an abundant number, since it is smaller than the sum of its proper divisors (366196368).

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

205374192 is a wasteful number, since it uses less digits than its factorization.

205374192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 205374192 is about 14330.8824571273. The cubic root of 205374192 is about 589.9953959231.

It can be divided in two parts, 2053 and 74192, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 205374192 in words is "two hundred five million, three hundred seventy-four thousand, one hundred ninety-two".