199224144 has 80 divisors (see below), whose sum is σ = 653549440. Its totient is φ = 56920320.

The previous prime is 199224143. The next prime is 199224161. The reversal of 199224144 is 441422991.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199224099 and 199224108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199224143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29917 + ... + 35964.

It is an arithmetic number, because the mean of its divisors is an integer number (8169368).

Almost surely, 2^199224144 is an apocalyptic number.

199224144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199224144 is an abundant number, since it is smaller than the sum of its proper divisors (454325296).

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

199224144 is a wasteful number, since it uses less digits than its factorization.

199224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65905 (or 65893 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 199224144 is about 14114.6783172696. The cubic root of 199224144 is about 584.0463621166.

The spelling of 199224144 in words is "one hundred ninety-nine million, two hundred twenty-four thousand, one hundred forty-four".