220290336 has 144 divisors (see below), whose sum is σ = 723026304. Its totient is φ = 62318592.

The previous prime is 220290299. The next prime is 220290347. The reversal of 220290336 is 633092022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 227325 + ... + 228291.

It is an arithmetic number, because the mean of its divisors is an integer number (5021016).

Almost surely, 2^220290336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220290336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361513152).

220290336 is an abundant number, since it is smaller than the sum of its proper divisors (502735968).

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

220290336 is a wasteful number, since it uses less digits than its factorization.

220290336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 220290336 is about 14842.1809718114. The cubic root of 220290336 is about 603.9465180778.

The spelling of 220290336 in words is "two hundred twenty million, two hundred ninety thousand, three hundred thirty-six".