220466730 has 128 divisors (see below), whose sum is σ = 622411776. Its totient is φ = 49420800.

The previous prime is 220466711. The next prime is 220466737. The reversal of 220466730 is 37664022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (220466737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234822 + ... + 235758.

It is an arithmetic number, because the mean of its divisors is an integer number (4862592).

Almost surely, 2^220466730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220466730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311205888).

220466730 is an abundant number, since it is smaller than the sum of its proper divisors (401945046).

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

220466730 is a wasteful number, since it uses less digits than its factorization.

220466730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 220466730 is about 14848.1221034850. The cubic root of 220466730 is about 604.1076752760.

The spelling of 220466730 in words is "two hundred twenty million, four hundred sixty-six thousand, seven hundred thirty".