Search a number
-
+
199520288 = 251122272
BaseRepresentation
bin10111110010001…
…11000000100000
3111220102200101022
423321013000200
5402034122123
631444225012
74641615542
oct1371070040
9456380338
10199520288
11a2695600
125699b168
1332449b56
141c6d9692
15127b21c8
hexbe47020

199520288 has 54 divisors (see below), whose sum is σ = 433671903. Its totient is φ = 90291520.

The previous prime is 199520281. The next prime is 199520291. The reversal of 199520288 is 882025991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199520288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 99760144 + 99760144 = 9988^2 + 9988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9988.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199520281) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 878831 + ... + 879057.

Almost surely, 2199520288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199520288

199520288 is an abundant number, since it is smaller than the sum of its proper divisors (234151615).

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

199520288 is an equidigital number, since it uses as much as digits as its factorization.

199520288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 199520288 is about 14125.1650609825. The cubic root of 199520288 is about 584.3356111860.

The spelling of 199520288 in words is "one hundred ninety-nine million, five hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 227 242 352 454 484 908 968 1816 1936 2497 3632 3872 4994 7264 9988 19976 27467 39952 51529 54934 79904 103058 109868 206116 219736 412232 439472 566819 824464 878944 1133638 1648928 2267276 4534552 6235009 9069104 12470018 18138208 24940036 49880072 99760144 199520288