220729320 has 384 divisors, whose sum is σ = 884822400. Its totient is φ = 48771072.

The previous prime is 220729307. The next prime is 220729349. The reversal of 220729320 is 23927022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2275512 + ... + 2275608.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^220729320 is an apocalyptic number.

220729320 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 220729320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442411200).

220729320 is an abundant number, since it is smaller than the sum of its proper divisors (664093080).

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

220729320 is a wasteful number, since it uses less digits than its factorization.

220729320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 220729320 is about 14856.9620043938. The cubic root of 220729320 is about 604.3474237641.

The spelling of 220729320 in words is "two hundred twenty million, seven hundred twenty-nine thousand, three hundred twenty".