220531248 has 280 divisors, whose sum is σ = 762231968. Its totient is φ = 60466176.

The previous prime is 220531247. The next prime is 220531253. The reversal of 220531248 is 842135022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220531247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3020940 + ... + 3021012.

Almost surely, 2^220531248 is an apocalyptic number.

220531248 is a gapful number since it is divisible by the number (28) 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 220531248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381115984).

220531248 is an abundant number, since it is smaller than the sum of its proper divisors (541700720).

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

220531248 is an equidigital number, since it uses as much as digits as its factorization.

220531248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220531248 is about 14850.2945425335. The cubic root of 220531248 is about 604.1665987813.

The spelling of 220531248 in words is "two hundred twenty million, five hundred thirty-one thousand, two hundred forty-eight".