205350222 has 128 divisors (see below), whose sum is σ = 540546048. Its totient is φ = 50457600.

The previous prime is 205350221. The next prime is 205350269. The reversal of 205350222 is 222053502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205350221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700708 + ... + 701000.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^205350222 is an apocalyptic number.

205350222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205350222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

205350222 is an abundant number, since it is smaller than the sum of its proper divisors (335195826).

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

205350222 is a wasteful number, since it uses less digits than its factorization.

205350222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 205350222 is about 14330.0461269320. The cubic root of 205350222 is about 589.9724414974.

The spelling of 205350222 in words is "two hundred five million, three hundred fifty thousand, two hundred twenty-two".