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13322208 = 253731901
BaseRepresentation
bin110010110100…
…011111100000
3221001211122010
4302310133200
511402302313
61153312520
7221144154
oct62643740
927054563
1013322208
11757a199
124565740
1329b5a83
141aab064
1512824c3
hexcb47e0

13322208 has 48 divisors (see below), whose sum is σ = 35468496. Its totient is φ = 4377600.

The previous prime is 13322207. The next prime is 13322209. The reversal of 13322208 is 80222331.

13322208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13322207) and next prime (13322209).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 7958.

It is an arithmetic number, because the mean of its divisors is an integer number (738927).

Almost surely, 213322208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734248).

13322208 is an abundant number, since it is smaller than the sum of its proper divisors (22146288).

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

13322208 is a wasteful number, since it uses less digits than its factorization.

13322208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13322208 is about 3649.9599997808. The cubic root of 13322208 is about 237.0602492411.

Adding to 13322208 its reverse (80222331), we get a palindrome (93544539).

It can be divided in two parts, 13322 and 208, that added together give a triangular number (13530 = T164).

The spelling of 13322208 in words is "thirteen million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 1901 2336 3504 3802 5703 7008 7604 11406 15208 22812 30416 45624 60832 91248 138773 182496 277546 416319 555092 832638 1110184 1665276 2220368 3330552 4440736 6661104 13322208