205211916 has 144 divisors (see below), whose sum is σ = 656079424. Its totient is φ = 52627968.

The previous prime is 205211887. The next prime is 205211933. The reversal of 205211916 is 619112502.

It is a super-2 number, since 2×205211916² = 84223860936782112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205211916.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120366 + ... + 122058.

Almost surely, 2^205211916 is an apocalyptic number.

205211916 is a gapful number since it is divisible by the number (26) 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 205211916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328039712).

205211916 is an abundant number, since it is smaller than the sum of its proper divisors (450867508).

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

205211916 is a wasteful number, since it uses less digits than its factorization.

205211916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 205211916 is about 14325.2195794689. The cubic root of 205211916 is about 589.8399604229.

The spelling of 205211916 in words is "two hundred five million, two hundred eleven thousand, nine hundred sixteen".