220313664 has 168 divisors, whose sum is σ = 682325280. Its totient is φ = 67737600.

The previous prime is 220313663. The next prime is 220313671. The reversal of 220313664 is 466313022.

It is a super-2 number, since 2×220313664² = 97076221090209792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220313663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448459 + ... + 448949.

It is an arithmetic number, because the mean of its divisors is an integer number (4061460).

Almost surely, 2^220313664 is an apocalyptic number.

220313664 is a gapful number since it is divisible by the number (24) 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 220313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341162640).

220313664 is an abundant number, since it is smaller than the sum of its proper divisors (462011616).

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

220313664 is a wasteful number, since it uses less digits than its factorization.

220313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 220313664 is about 14842.9668193391. The cubic root of 220313664 is about 603.9678359552.

Adding to 220313664 its reverse (466313022), we get a palindrome (686626686).

The spelling of 220313664 in words is "two hundred twenty million, three hundred thirteen thousand, six hundred sixty-four".