220948488 has 72 divisors (see below), whose sum is σ = 625658670. Its totient is φ = 70435200.

The previous prime is 220948459. The next prime is 220948489. The reversal of 220948488 is 884849022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 124947684 + 96000804 = 11178^2 + 9798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×220948488² = 97636468698972288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220948489) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 35188 + ... + 40988.

Almost surely, 2^220948488 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 220948488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312829335).

220948488 is an abundant number, since it is smaller than the sum of its proper divisors (404710182).

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

220948488 is a wasteful number, since it uses less digits than its factorization.

220948488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 220948488 is about 14864.3361103011. The cubic root of 220948488 is about 604.5473817963.

The spelling of 220948488 in words is "two hundred twenty million, nine hundred forty-eight thousand, four hundred eighty-eight".