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13822361 = 72282089
BaseRepresentation
bin110100101110…
…100110011001
3222000020201022
4310232212121
512014303421
61212132225
7225326300
oct64564631
928006638
1013822361
117890a43
124767075
132b2c617
141b9b437
1513307ab
hexd2e999

13822361 has 6 divisors (see below), whose sum is σ = 16079130. Its totient is φ = 11847696.

The previous prime is 13822339. The next prime is 13822363. The reversal of 13822361 is 16322831.

It can be written as a sum of positive squares in only one way, i.e., 12645136 + 1177225 = 3556^2 + 1085^2 .

It is not a de Polignac number, because 13822361 - 26 = 13822297 is a prime.

It is a super-2 number, since 2×138223612 = 382115327228642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13822361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140996 + ... + 141093.

It is an arithmetic number, because the mean of its divisors is an integer number (2679855).

Almost surely, 213822361 is an apocalyptic number.

It is an amenable number.

13822361 is a deficient number, since it is larger than the sum of its proper divisors (2256769).

13822361 is an equidigital number, since it uses as much as digits as its factorization.

13822361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282103 (or 282096 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 13822361 is about 3717.8435954193. The cubic root of 13822361 is about 239.9905146714.

The spelling of 13822361 in words is "thirteen million, eight hundred twenty-two thousand, three hundred sixty-one".

Divisors: 1 7 49 282089 1974623 13822361