220766814 has 48 divisors (see below), whose sum is σ = 509230800. Its totient is φ = 68923008.

The previous prime is 220766797. The next prime is 220766831. The reversal of 220766814 is 418667022.

It is an interprime number because it is at equal distance from previous prime (220766797) and next prime (220766831).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26812 + ... + 34064.

It is an arithmetic number, because the mean of its divisors is an integer number (10608975).

Almost surely, 2^220766814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220766814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254615400).

220766814 is an abundant number, since it is smaller than the sum of its proper divisors (288463986).

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

220766814 is a wasteful number, since it uses less digits than its factorization.

220766814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 220766814 is about 14858.2237834810. The cubic root of 220766814 is about 604.3816408154.

The spelling of 220766814 in words is "two hundred twenty million, seven hundred sixty-six thousand, eight hundred fourteen".