220000264 has 96 divisors (see below), whose sum is σ = 497712600. Its totient is φ = 90675200.

The previous prime is 220000243. The next prime is 220000303. The reversal of 220000264 is 462000022.

It can be written as a sum of positive squares in 4 ways, for example, as 197627364 + 22372900 = 14058^2 + 4730^2 .

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, 476994 + ... + 477454.

Almost surely, 2^220000264 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 220000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248856300).

220000264 is an abundant number, since it is smaller than the sum of its proper divisors (277712336).

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

220000264 is a wasteful number, since it uses less digits than its factorization.

220000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220000264 is about 14832.4058736268. The cubic root of 220000264 is about 603.6813151521.

Adding to 220000264 its reverse (462000022), we get a palindrome (682000286).

The spelling of 220000264 in words is "two hundred twenty million, two hundred sixty-four", and thus it is an aban number.