219742299000 has 384 divisors, whose sum is σ = 885744737280. Its totient is φ = 48042720000.

The previous prime is 219742298987. The next prime is 219742299001. The reversal of 219742299000 is 992247912.

219742299000 is a `hidden beast` number, since 219 + 7 + 422 + 9 + 9 + 0 + 0 + 0 = 666.

219742299000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219742299001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1373175 + ... + 1524825.

It is an arithmetic number, because the mean of its divisors is an integer number (2306626920).

Almost surely, 2^219742299000 is an apocalyptic number.

219742299000 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 219742299000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442872368640).

219742299000 is an abundant number, since it is smaller than the sum of its proper divisors (666002438280).

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

219742299000 is a wasteful number, since it uses less digits than its factorization.

219742299000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151708 (or 151691 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 219742299000 in words is "two hundred nineteen billion, seven hundred forty-two million, two hundred ninety-nine thousand".