205214430 has 32 divisors (see below), whose sum is σ = 504530208. Its totient is φ = 53388800.

The previous prime is 205214423. The next prime is 205214467. The reversal of 205214430 is 34412502.

It is a super-2 number, since 2×205214430² = 84225924560449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205214397 and 205214406.

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, 82191 + ... + 84650.

It is an arithmetic number, because the mean of its divisors is an integer number (15766569).

Almost surely, 2^205214430 is an apocalyptic number.

205214430 is an abundant number, since it is smaller than the sum of its proper divisors (299315778).

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

205214430 is a wasteful number, since it uses less digits than its factorization.

205214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166892.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205214430 is about 14325.3073265463. The cubic root of 205214430 is about 589.8423690739.

Adding to 205214430 its reverse (34412502), we get a palindrome (239626932).

It can be divided in two parts, 2052 and 14430, that multiplied together give a triangular number (29610360 = T₇₆₉₅).

The spelling of 205214430 in words is "two hundred five million, two hundred fourteen thousand, four hundred thirty".