220420248 has 64 divisors (see below), whose sum is σ = 572508000. Its totient is φ = 70659072.

The previous prime is 220420243. The next prime is 220420253. The reversal of 220420248 is 842024022.

220420248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220420243) and next prime (220420253).

It is a super-3 number, since 3×220420248³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220420241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77638 + ... + 80426.

Almost surely, 2^220420248 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 220420248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286254000).

220420248 is an abundant number, since it is smaller than the sum of its proper divisors (352087752).

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

220420248 is a wasteful number, since it uses less digits than its factorization.

220420248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 220420248 is about 14846.5567725315. The cubic root of 220420248 is about 604.0652167055.

The spelling of 220420248 in words is "two hundred twenty million, four hundred twenty thousand, two hundred forty-eight".