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13228137 = 33133223
BaseRepresentation
bin110010011101…
…100001101001
3220220001121000
4302131201221
511341300022
61151305213
7220302666
oct62354151
926801530
1013228137
11751554a
12451b209
132982000
141a84a6d
1512646ac
hexc9d869

13228137 has 32 divisors (see below), whose sum is σ = 21324800. Its totient is φ = 8103888.

The previous prime is 13228121. The next prime is 13228141. The reversal of 13228137 is 73182231.

13228137 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 13228137 - 24 = 13228121 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13228137.

It is not an unprimeable number, because it can be changed into a prime (13228157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59208 + ... + 59430.

It is an arithmetic number, because the mean of its divisors is an integer number (666400).

Almost surely, 213228137 is an apocalyptic number.

It is an amenable number.

13228137 is a deficient number, since it is larger than the sum of its proper divisors (8096663).

13228137 is an equidigital number, since it uses as much as digits as its factorization.

13228137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13228137 is about 3637.0505907947. The cubic root of 13228137 is about 236.5009527858.

It can be divided in two parts, 13 and 228137, that added together give a triangular number (228150 = T675).

The spelling of 13228137 in words is "thirteen million, two hundred twenty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 27 39 117 169 223 351 507 669 1521 2007 2197 2899 4563 6021 6591 8697 19773 26091 37687 59319 78273 113061 339183 489931 1017549 1469793 4409379 13228137