2229216 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 675200.

The previous prime is 2229169. The next prime is 2229239. The reversal of 2229216 is 6129222.

2229216 is a nontrivial binomial coefficient, being equal to C(2112, 2).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁸ + 2¹⁷ + 2²⁰ + 9³ + 2²⁰ + 1 + 6 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

2^2229216 is an apocalyptic number.

2229216 is the 2111-st triangular number and also the 1056-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2229216 is an abundant number, since it is smaller than the sum of its proper divisors (4157472).

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

2229216 is a wasteful number, since it uses less digits than its factorization.

2229216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2229216 is about 1493.0559266149. The cubic root of 2229216 is about 130.6323432454.

The spelling of 2229216 in words is "two million, two hundred twenty-nine thousand, two hundred sixteen".