220302720 has 512 divisors, whose sum is σ = 910656000. Its totient is φ = 49766400.

The previous prime is 220302703. The next prime is 220302721. The reversal of 220302720 is 27203022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220302693 and 220302702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220302721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611490 + ... + 3611550.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 2^220302720 is an apocalyptic number.

220302720 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 220302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

220302720 is an abundant number, since it is smaller than the sum of its proper divisors (690353280).

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

220302720 is a wasteful number, since it uses less digits than its factorization.

220302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 220302720 is about 14842.5981553096. The cubic root of 220302720 is about 603.9578351631.

Adding to 220302720 its reverse (27203022), we get a palindrome (247505742).

The spelling of 220302720 in words is "two hundred twenty million, three hundred two thousand, seven hundred twenty".