219649248 has 432 divisors, whose sum is σ = 844814880. Its totient is φ = 52641792.

The previous prime is 219649211. The next prime is 219649301. The reversal of 219649248 is 842946912.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7574098 + ... + 7574126.

It is an arithmetic number, because the mean of its divisors is an integer number (1955590).

Almost surely, 2^219649248 is an apocalyptic number.

219649248 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 219649248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422407440).

219649248 is an abundant number, since it is smaller than the sum of its proper divisors (625165632).

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

219649248 is a wasteful number, since it uses less digits than its factorization.

219649248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 219649248 is about 14820.5684101522. The cubic root of 219649248 is about 603.3600812970.

The spelling of 219649248 in words is "two hundred nineteen million, six hundred forty-nine thousand, two hundred forty-eight".