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13822305 = 357131641
BaseRepresentation
bin110100101110…
…100101100001
3222000020122020
4310232211201
512014303210
61212132053
7225326160
oct64564541
928006566
1013822305
1178909a2
124767029
132b2c5a3
141b9b3d7
151330770
hexd2e961

13822305 has 16 divisors (see below), whose sum is σ = 25275264. Its totient is φ = 6318720.

The previous prime is 13822297. The next prime is 13822327. The reversal of 13822305 is 50322831.

13822305 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 13822305 - 23 = 13822297 is a prime.

It is a super-2 number, since 2×138223052 = 382112231026050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65716 + ... + 65925.

It is an arithmetic number, because the mean of its divisors is an integer number (1579704).

Almost surely, 213822305 is an apocalyptic number.

13822305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13822305 is a deficient number, since it is larger than the sum of its proper divisors (11452959).

13822305 is a wasteful number, since it uses less digits than its factorization.

13822305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131656.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13822305 is about 3717.8360641642. The cubic root of 13822305 is about 239.9901905713.

The spelling of 13822305 in words is "thirteen million, eight hundred twenty-two thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 131641 394923 658205 921487 1974615 2764461 4607435 13822305