219424140 has 288 divisors, whose sum is σ = 780788736. Its totient is φ = 51321600.

The previous prime is 219424133. The next prime is 219424199. The reversal of 219424140 is 41424912.

It is a happy number.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1453065 + ... + 1453215.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2^219424140 is an apocalyptic number.

219424140 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 219424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390394368).

219424140 is an abundant number, since it is smaller than the sum of its proper divisors (561364596).

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

219424140 is a wasteful number, since it uses less digits than its factorization.

219424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 219424140 is about 14812.9720177958. The cubic root of 219424140 is about 603.1538925549.

The spelling of 219424140 in words is "two hundred nineteen million, four hundred twenty-four thousand, one hundred forty".