248219220 has 192 divisors, whose sum is σ = 766402560. Its totient is φ = 59845632.

The previous prime is 248219183. The next prime is 248219221. The reversal of 248219220 is 22912842.

248219220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248219220² = 123225562354816800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248219221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2788936 + ... + 2789024.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^248219220 is an apocalyptic number.

248219220 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 248219220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

248219220 is an abundant number, since it is smaller than the sum of its proper divisors (518183340).

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

248219220 is a wasteful number, since it uses less digits than its factorization.

248219220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 248219220 is about 15754.9744525340. The cubic root of 248219220 is about 628.4611978584.

The spelling of 248219220 in words is "two hundred forty-eight million, two hundred nineteen thousand, two hundred twenty".