Search a number
-
+
2193219 = 327311123
BaseRepresentation
bin1000010111011101000011
311010102112100
420113131003
51030140334
6115001443
724433140
oct10273503
94112470
102193219
111268886
12899283
135ba382
144113c7
152d4c99
hex217743

2193219 has 24 divisors (see below), whose sum is σ = 3740672. Its totient is φ = 1211760.

The previous prime is 2193209. The next prime is 2193223. The reversal of 2193219 is 9123912.

2193219 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 2193219 - 28 = 2192963 is a prime.

It is a super-2 number, since 2×21932192 = 9620419163922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2193192 and 2193201.

It is not an unprimeable number, because it can be changed into a prime (2193209) 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 23 ways as a sum of consecutive naturals, for example, 1392 + ... + 2514.

22193219 is an apocalyptic number.

2193219 is a deficient number, since it is larger than the sum of its proper divisors (1547453).

2193219 is a wasteful number, since it uses less digits than its factorization.

2193219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1164 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2193219 is about 1480.9520586434. The cubic root of 2193219 is about 129.9253812409.

The spelling of 2193219 in words is "two million, one hundred ninety-three thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1123 1953 3369 7861 10107 23583 34813 70749 104439 243691 313317 731073 2193219