199693800 has 144 divisors (see below), whose sum is σ = 706056000. Its totient is φ = 50440320.

The previous prime is 199693789. The next prime is 199693801. The reversal of 199693800 is 8396991.

It is a super-2 number, since 2×199693800² = 79755227516880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (199693801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31281 + ... + 37119.

Almost surely, 2^199693800 is an apocalyptic number.

199693800 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 199693800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353028000).

199693800 is an abundant number, since it is smaller than the sum of its proper divisors (506362200).

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

199693800 is a wasteful number, since it uses less digits than its factorization.

199693800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199693800 is about 14131.3056721592. The cubic root of 199693800 is about 584.5049504628.

The spelling of 199693800 in words is "one hundred ninety-nine million, six hundred ninety-three thousand, eight hundred".