219304890000 has 675 divisors, whose sum is σ = 896174353503. Its totient is φ = 49902048000.

The previous prime is 219304889953. The next prime is 219304890001. The reversal of 219304890000 is 98403912.

The square root of 219304890000 is 468300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17193503376 + 202111386624 = 131124^2 + 449568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (219304890001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 983429889 + ... + 983430111.

Almost surely, 2^219304890000 is an apocalyptic number.

219304890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

219304890000 is the 468300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219304890000

219304890000 is an abundant number, since it is smaller than the sum of its proper divisors (676869463503).

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

219304890000 is an equidigital number, since it uses as much as digits as its factorization.

219304890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 219304890000 by its sum of digits (36), we get a square (7894976040000 = 2809800²).

219304890000 divided by its sum of digits (36) gives a square (6091802500 = 78050²).

The spelling of 219304890000 in words is "two hundred nineteen billion, three hundred four million, eight hundred ninety thousand".