205214020 has 48 divisors (see below), whose sum is σ = 481614336. Its totient is φ = 72800000.

The previous prime is 205213997. The next prime is 205214047. The reversal of 205214020 is 20412502.

It is a super-2 number, since 2×205214020² = 84225588009120800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205213985 and 205214003.

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, 2356 + ... + 20395.

It is an arithmetic number, because the mean of its divisors is an integer number (10033632).

Almost surely, 2^205214020 is an apocalyptic number.

205214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205214020 is an abundant number, since it is smaller than the sum of its proper divisors (276400316).

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

205214020 is a wasteful number, since it uses less digits than its factorization.

205214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22812 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205214020 is about 14325.2930162004. The cubic root of 205214020 is about 589.8419762562.

Adding to 205214020 its reverse (20412502), we get a palindrome (225626522).

The spelling of 205214020 in words is "two hundred five million, two hundred fourteen thousand, twenty".