199362240 has 672 divisors, whose sum is σ = 912936960. Its totient is φ = 38707200.

The previous prime is 199362221. The next prime is 199362277. The reversal of 199362240 is 42263991.

199362240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 199362195 and 199362204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6431025 + ... + 6431055.

Almost surely, 2^199362240 is an apocalyptic number.

199362240 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 199362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

199362240 is an abundant number, since it is smaller than the sum of its proper divisors (713574720).

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

199362240 is a wasteful number, since it uses less digits than its factorization.

199362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 199362240 is about 14119.5693985334. The cubic root of 199362240 is about 584.1812785583.

The spelling of 199362240 in words is "one hundred ninety-nine million, three hundred sixty-two thousand, two hundred forty".