199993222000 has 320 divisors, whose sum is σ = 587741132160. Its totient is φ = 64813056000.

The previous prime is 199993221977. The next prime is 199993222003. The reversal of 199993222000 is 222399991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199993222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8281944 + ... + 8306056.

It is an arithmetic number, because the mean of its divisors is an integer number (1836691038).

Almost surely, 2^199993222000 is an apocalyptic number.

199993222000 is a gapful number since it is divisible by the number (10) 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 199993222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293870566080).

199993222000 is an abundant number, since it is smaller than the sum of its proper divisors (387747910160).

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

199993222000 is a wasteful number, since it uses less digits than its factorization.

199993222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24189 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 199993222000 in words is "one hundred ninety-nine billion, nine hundred ninety-three million, two hundred twenty-two thousand".