Search a number
-
+
199169280 = 2834517113
BaseRepresentation
bin10111101111100…
…01010100000000
3111212202211220000
423313301110000
5401441404110
631432520000
74635624312
oct1367612400
9455684800
10199169280
11a2475912
1256850000
133235615b
141c6477b2
15127431c0
hexbdf1500

199169280 has 360 divisors, whose sum is σ = 761263272. Its totient is φ = 49545216.

The previous prime is 199169279. The next prime is 199169281. The reversal of 199169280 is 82961991.

It is an interprime number because it is at equal distance from previous prime (199169279) and next prime (199169281).

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 195105024 = 2016^2 + 13968^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199169281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762504 + ... + 1762616.

Almost surely, 2199169280 is an apocalyptic number.

199169280 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 199169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380631636).

199169280 is an abundant number, since it is smaller than the sum of its proper divisors (562093992).

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

199169280 is a wasteful number, since it uses less digits than its factorization.

199169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199169280 is about 14112.7346747539. The cubic root of 199169280 is about 583.9927440144.

The spelling of 199169280 in words is "one hundred ninety-nine million, one hundred sixty-nine thousand, two hundred eighty".