Search a number
-
+
2198331 = 32475197
BaseRepresentation
bin1000011000101100111011
311010200112200
420120230323
51030321311
6115041243
724454062
oct10305473
94120480
102198331
111271703
128a0223
135bc7b5
144131d9
152d6556
hex218b3b

2198331 has 12 divisors (see below), whose sum is σ = 3243552. Its totient is φ = 1434096.

The previous prime is 2198327. The next prime is 2198347. The reversal of 2198331 is 1338912.

2198331 = 1042 + 1052 + ... + 1972.

2198331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2198331 - 22 = 2198327 is a prime.

It is a super-2 number, since 2×21983312 = 9665318371122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2198295 and 2198304.

It is not an unprimeable number, because it can be changed into a prime (2198431) 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 11 ways as a sum of consecutive naturals, for example, 2176 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (270296).

22198331 is an apocalyptic number.

2198331 is a deficient number, since it is larger than the sum of its proper divisors (1045221).

2198331 is a wasteful number, since it uses less digits than its factorization.

2198331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5247 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2198331 is about 1482.6769708875. The cubic root of 2198331 is about 130.0262471658.

The spelling of 2198331 in words is "two million, one hundred ninety-eight thousand, three hundred thirty-one".

Divisors: 1 3 9 47 141 423 5197 15591 46773 244259 732777 2198331