248221000 has 64 divisors (see below), whose sum is σ = 587574000. Its totient is φ = 98137600.

The previous prime is 248220989. The next prime is 248221003. The reversal of 248221000 is 122842.

248221000 is digitally balanced in base 2, 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 8 ways, for example, as 1542564 + 246678436 = 1242^2 + 15706^2 .

It is a super-2 number, since 2×248221000² = 123227329682000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248221003) 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, 87606 + ... + 90394.

Almost surely, 2^248221000 is an apocalyptic number.

248221000 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 248221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293787000).

248221000 is an abundant number, since it is smaller than the sum of its proper divisors (339353000).

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

248221000 is a wasteful number, since it uses less digits than its factorization.

248221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 248221000 is about 15755.0309425275. The cubic root of 248221000 is about 628.4627001034.

Adding to 248221000 its reverse (122842), we get a palindrome (248343842).

The spelling of 248221000 in words is "two hundred forty-eight million, two hundred twenty-one thousand".