219934848 has 128 divisors (see below), whose sum is σ = 707080320. Its totient is φ = 59129856.

The previous prime is 219934777. The next prime is 219934849. The reversal of 219934848 is 848439912.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 219934797 and 219934806.

It is not an unprimeable number, because it can be changed into a prime (219934849) 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, 43290 + ... + 48102.

It is an arithmetic number, because the mean of its divisors is an integer number (5524065).

Almost surely, 2^219934848 is an apocalyptic number.

219934848 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 219934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353540160).

219934848 is an abundant number, since it is smaller than the sum of its proper divisors (487145472).

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

219934848 is a wasteful number, since it uses less digits than its factorization.

219934848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4842 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 219934848 is about 14830.2005380912. The cubic root of 219934848 is about 603.6214753275.

The spelling of 219934848 in words is "two hundred nineteen million, nine hundred thirty-four thousand, eight hundred forty-eight".