Search a number
-
+
10338219 = 33616277
BaseRepresentation
bin100111011011…
…111110101011
3201110020101000
4213123332223
510121310334
61005330043
7153605403
oct47337653
921406330
1010338219
115921291
123566923
1321ac7b8
141531803
15d93299
hex9dbfab

10338219 has 16 divisors (see below), whose sum is σ = 15569440. Its totient is φ = 6778080.

The previous prime is 10338217. The next prime is 10338241. The reversal of 10338219 is 91283301.

It is not a de Polignac number, because 10338219 - 21 = 10338217 is a prime.

It is a super-2 number, since 2×103382192 = 213757544183922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10338192 and 10338201.

It is not an unprimeable number, because it can be changed into a prime (10338217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 4785.

It is an arithmetic number, because the mean of its divisors is an integer number (973090).

Almost surely, 210338219 is an apocalyptic number.

10338219 is a deficient number, since it is larger than the sum of its proper divisors (5231221).

10338219 is an equidigital number, since it uses as much as digits as its factorization.

10338219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6341 counting only the distinct ones).

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

The square root of 10338219 is about 3215.3100939101. The cubic root of 10338219 is about 217.8454913363.

The spelling of 10338219 in words is "ten million, three hundred thirty-eight thousand, two hundred nineteen".

Divisors: 1 3 9 27 61 183 549 1647 6277 18831 56493 169479 382897 1148691 3446073 10338219