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13222314 = 23271011039
BaseRepresentation
bin110010011100…
…000110101010
3220212202121100
4302130012222
511341103224
61151222230
7220250010
oct62340652
926782540
1013222314
117511136
124517976
13297c471
141a828b0
151262ac9
hexc9c1aa

13222314 has 48 divisors (see below), whose sum is σ = 33096960. Its totient is φ = 3736800.

The previous prime is 13222303. The next prime is 13222327. The reversal of 13222314 is 41322231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12207 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (689520).

Almost surely, 213222314 is an apocalyptic number.

13222314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548480).

13222314 is an abundant number, since it is smaller than the sum of its proper divisors (19874646).

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

13222314 is a wasteful number, since it uses less digits than its factorization.

13222314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1152 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13222314 is about 3636.2499914060. The cubic root of 13222314 is about 236.4662452738.

Adding to 13222314 its reverse (41322231), we get a palindrome (54544545).

The spelling of 13222314 in words is "thirteen million, two hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1039 1414 1818 2078 2121 3117 4242 6234 6363 7273 9351 12726 14546 18702 21819 43638 65457 104939 130914 209878 314817 629634 734573 944451 1469146 1888902 2203719 4407438 6611157 13222314