219225888 has 144 divisors (see below), whose sum is σ = 731989440. Its totient is φ = 60922368.

The previous prime is 219225871. The next prime is 219225889. The reversal of 219225888 is 888522912.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (219225889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73123 + ... + 76061.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^219225888 is an apocalyptic number.

219225888 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 219225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994720).

219225888 is an abundant number, since it is smaller than the sum of its proper divisors (512763552).

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

219225888 is a wasteful number, since it uses less digits than its factorization.

219225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 219225888 is about 14806.2786681867. The cubic root of 219225888 is about 602.9721858741.

The spelling of 219225888 in words is "two hundred nineteen million, two hundred twenty-five thousand, eight hundred eighty-eight".