205194240 has 264 divisors, whose sum is σ = 732547608. Its totient is φ = 53084160.

The previous prime is 205194229. The next prime is 205194263. The reversal of 205194240 is 42491502.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 204604416 = 768^2 + 14304^2 .

It is a super-2 number, since 2×205194240² = 84209352258355200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2810844 + ... + 2810916.

Almost surely, 2^205194240 is an apocalyptic number.

205194240 is a gapful number since it is divisible by the number (20) 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 205194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366273804).

205194240 is an abundant number, since it is smaller than the sum of its proper divisors (527353368).

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

205194240 is a wasteful number, since it uses less digits than its factorization.

205194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205194240 is about 14324.6026122891. The cubic root of 205194240 is about 589.8230245797.

The spelling of 205194240 in words is "two hundred five million, one hundred ninety-four thousand, two hundred forty".