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199027296 = 253213175359
BaseRepresentation
bin10111101110011…
…10101001100000
3111212111122010100
423313032221200
5401422333141
631425502400
74634463336
oct1367165140
9455448110
10199027296
11a2389176
12567a1a00
1332306640
141c60bb56
15127160b6
hexbdcea60

199027296 has 288 divisors, whose sum is σ = 668697120. Its totient is φ = 55590912.

The previous prime is 199027291. The next prime is 199027343. The reversal of 199027296 is 692720991.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1990272962 = 79223729106143232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199027291) 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, 3373315 + ... + 3373373.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2199027296 is an apocalyptic number.

199027296 is a gapful number since it is divisible by the number (16) 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 199027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334348560).

199027296 is an abundant number, since it is smaller than the sum of its proper divisors (469669824).

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

199027296 is a wasteful number, since it uses less digits than its factorization.

199027296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199027296 is about 14107.7034275604. The cubic root of 199027296 is about 583.8539385771.

The spelling of 199027296 in words is "one hundred ninety-nine million, twenty-seven thousand, two hundred ninety-six".