219040000 has 135 divisors (see below), whose sum is σ = 561521037. Its totient is φ = 85248000.

The previous prime is 219039967. The next prime is 219040007. The reversal of 219040000 is 40912.

The square root of 219040000 is 14800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 72726784 + 146313216 = 8528^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219040007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5919982 + ... + 5920018.

Almost surely, 2^219040000 is an apocalyptic number.

219040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

219040000 is the 14800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219040000

219040000 is an abundant number, since it is smaller than the sum of its proper divisors (342481037).

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

219040000 is an frugal number, since it uses more digits than its factorization.

219040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 219040000 is about 602.8017118032.

Multiplying 219040000 by its sum of digits (16), we get a square (3504640000 = 59200²).

219040000 divided by its sum of digits (16) gives a square (13690000 = 3700²).

Adding to 219040000 its reverse (40912), we get a palindrome (219080912).

The spelling of 219040000 in words is "two hundred nineteen million, forty thousand".