13229216 has 144 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4677120.

The previous prime is 13229207. The next prime is 13229267. The reversal of 13229216 is 61292231.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 224195 + ... + 224253.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^13229216 is an apocalyptic number.

13229216 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 13229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

13229216 is an abundant number, since it is smaller than the sum of its proper divisors (22968064).

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

13229216 is a wasteful number, since it uses less digits than its factorization.

13229216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 13229216 is about 3637.1989222477. The cubic root of 13229216 is about 236.5073829578.

The spelling of 13229216 in words is "thirteen million, two hundred twenty-nine thousand, two hundred sixteen".