205205402220 has 192 divisors, whose sum is σ = 709023006720. Its totient is φ = 43182600192.

The previous prime is 205205402219. The next prime is 205205402239. The reversal of 205205402220 is 22204502502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2042116 + ... + 2140244.

It is an arithmetic number, because the mean of its divisors is an integer number (3692828160).

Almost surely, 2^205205402220 is an apocalyptic number.

205205402220 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 205205402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354511503360).

205205402220 is an abundant number, since it is smaller than the sum of its proper divisors (503817604500).

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

205205402220 is a wasteful number, since it uses less digits than its factorization.

205205402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98544 (or 98542 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 205205402220 its reverse (22204502502), we get a palindrome (227409904722).

The spelling of 205205402220 in words is "two hundred five billion, two hundred five million, four hundred two thousand, two hundred twenty".