220706850 has 384 divisors, whose sum is σ = 759951360. Its totient is φ = 41057280.

The previous prime is 220706807. The next prime is 220706861. The reversal of 220706850 is 58607022.

220706850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 191 ways as a sum of consecutive naturals, for example, 5965032 + ... + 5965068.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^220706850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220706850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

220706850 is an abundant number, since it is smaller than the sum of its proper divisors (539244510).

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

220706850 is a wasteful number, since it uses less digits than its factorization.

220706850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 220706850 is about 14856.2057740192. The cubic root of 220706850 is about 604.3269157690.

It can be divided in two parts, 22070 and 6850, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 220706850 in words is "two hundred twenty million, seven hundred six thousand, eight hundred fifty".