199218240 has 336 divisors, whose sum is σ = 783841968. Its totient is φ = 46006272.

The previous prime is 199218191. The next prime is 199218247. The reversal of 199218240 is 42812991.

It can be written as a sum of positive squares in 8 ways, for example, as 41062464 + 158155776 = 6408^2 + 12576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 199218195 and 199218204.

It is not an unprimeable number, because it can be changed into a prime (199218247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636324 + ... + 636636.

It is an arithmetic number, because the mean of its divisors is an integer number (2332863).

Almost surely, 2^199218240 is an apocalyptic number.

199218240 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 199218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391920984).

199218240 is an abundant number, since it is smaller than the sum of its proper divisors (584623728).

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

199218240 is a wasteful number, since it uses less digits than its factorization.

199218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 199218240 is about 14114.4691717400. The cubic root of 199218240 is about 584.0405926623.

The spelling of 199218240 in words is "one hundred ninety-nine million, two hundred eighteen thousand, two hundred forty".