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199425744 = 24327432107
BaseRepresentation
bin10111110001011…
…11111011010000
3111220020212200200
423320233323100
5402023110434
631442215200
74641043110
oct1370577320
9456225620
10199425744
11a2630571
1256954500
1332415acb
141c6b3040
1512794199
hexbe2fed0

199425744 has 180 divisors, whose sum is σ = 659127456. Its totient is φ = 55133568.

The previous prime is 199425727. The next prime is 199425749. The reversal of 199425744 is 447524991.

Its product of digits (362880) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 199425744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199425749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1863739 + ... + 1863845.

Almost surely, 2199425744 is an apocalyptic number.

199425744 is a gapful number since it is divisible by the number (14) 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 199425744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329563728).

199425744 is an abundant number, since it is smaller than the sum of its proper divisors (459701712).

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

199425744 is a wasteful number, since it uses less digits than its factorization.

199425744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 162 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 199425744 is about 14121.8180132729. The cubic root of 199425744 is about 584.2432995134.

The spelling of 199425744 in words is "one hundred ninety-nine million, four hundred twenty-five thousand, seven hundred forty-four".