Search a number
-
+
2824193 = 172331233
BaseRepresentation
bin1010110001100000000001
312022111001202
422301200001
51210333233
6140310545
733001541
oct12614001
95274052
102824193
111659949
12b42455
1377b628
14537321
153abbe8
hex2b1801

2824193 has 16 divisors (see below), whose sum is σ = 3234816. Its totient is φ = 2449920.

The previous prime is 2824189. The next prime is 2824201. The reversal of 2824193 is 3914282.

It is a cyclic number.

It is not a de Polignac number, because 2824193 - 22 = 2824189 is a prime.

It is a super-2 number, since 2×28241932 = 15952132202498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2824123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12005 + ... + 12237.

It is an arithmetic number, because the mean of its divisors is an integer number (202176).

It is a Proth number, since it is equal to 1379 ⋅ 211 + 1 and 1379 < 211.

22824193 is an apocalyptic number.

2824193 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2824193 is a deficient number, since it is larger than the sum of its proper divisors (410623).

2824193 is a wasteful number, since it uses less digits than its factorization.

2824193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 3456, while the sum is 29.

The square root of 2824193 is about 1680.5335462287. The cubic root of 2824193 is about 141.3507522487.

The spelling of 2824193 in words is "two million, eight hundred twenty-four thousand, one hundred ninety-three".

Divisors: 1 17 23 31 233 391 527 713 3961 5359 7223 12121 91103 122791 166129 2824193