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13222016 = 27531949
BaseRepresentation
bin110010011100…
…000010000000
3220212202012022
4302130002000
511341101031
61151221012
7220246103
oct62340200
926782168
1013222016
117510995
124517768
13297c2a2
141a8273a
15126297b
hexc9c080

13222016 has 32 divisors (see below), whose sum is σ = 26851500. Its totient is φ = 6482944.

The previous prime is 13221997. The next prime is 13222031. The reversal of 13222016 is 61022231.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 1000000 = 3496^2 + 1000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13221985 and 13222003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5810 + ... + 7758.

Almost surely, 213222016 is an apocalyptic number.

13222016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425750).

13222016 is an abundant number, since it is smaller than the sum of its proper divisors (13629484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13222016 is an equidigital number, since it uses as much as digits as its factorization.

13222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13222016 is about 3636.2090148945. The cubic root of 13222016 is about 236.4644687953.

Adding to 13222016 its reverse (61022231), we get a palindrome (74244247).

The spelling of 13222016 in words is "thirteen million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 1949 3392 3898 6784 7796 15592 31184 62368 103297 124736 206594 249472 413188 826376 1652752 3305504 6611008 13222016