220242500 has 60 divisors (see below), whose sum is σ = 494850972. Its totient is φ = 85680000.

The previous prime is 220242493. The next prime is 220242523. The reversal of 220242500 is 5242022.

220242500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 194212096 + 26030404 = 13936^2 + 5102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91310 + ... + 93690.

Almost surely, 2^220242500 is an apocalyptic number.

220242500 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 220242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247425486).

220242500 is an abundant number, since it is smaller than the sum of its proper divisors (274608472).

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

220242500 is a wasteful number, since it uses less digits than its factorization.

220242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 220242500 is about 14840.5693960845. The cubic root of 220242500 is about 603.9027992935.

Adding to 220242500 its reverse (5242022), we get a palindrome (225484522).

The spelling of 220242500 in words is "two hundred twenty million, two hundred forty-two thousand, five hundred".