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13822341 = 3132137199
BaseRepresentation
bin110100101110…
…100110000101
3222000020200120
4310232212011
512014303331
61212132153
7225326241
oct64564605
928006616
1013822341
117890a25
124767059
132b2c600
141b9b421
151330796
hexd2e985

13822341 has 24 divisors (see below), whose sum is σ = 20203200. Its totient is φ = 8401536.

The previous prime is 13822339. The next prime is 13822363. The reversal of 13822341 is 14322831.

13822341 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 13822341 - 21 = 13822339 is a prime.

It is a super-2 number, since 2×138223412 = 382114221440562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69360 + ... + 69558.

It is an arithmetic number, because the mean of its divisors is an integer number (841800).

Almost surely, 213822341 is an apocalyptic number.

It is an amenable number.

13822341 is a deficient number, since it is larger than the sum of its proper divisors (6380859).

13822341 is a wasteful number, since it uses less digits than its factorization.

13822341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13822341 is about 3717.8409056871. The cubic root of 13822341 is about 239.9903989215.

The spelling of 13822341 in words is "thirteen million, eight hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 13 39 137 169 199 411 507 597 1781 2587 5343 7761 23153 27263 33631 69459 81789 100893 354419 1063257 4607447 13822341