2247168 has 160 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 552960.

The previous prime is 2247163. The next prime is 2247173. The reversal of 2247168 is 8617422.

It is an interprime number because it is at equal distance from previous prime (2247163) and next prime (2247173).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (5376) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (2247163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118263 + ... + 118281.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2^2247168 is an apocalyptic number.

2247168 is a gapful number since it is divisible by the number (28) 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 2247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2247168 is an abundant number, since it is smaller than the sum of its proper divisors (5609472).

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

2247168 is a wasteful number, since it uses less digits than its factorization.

2247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2247168 is about 1499.0557027676. The cubic root of 2247168 is about 130.9820692977.

It can be divided in two parts, 2247 and 168, that added together give a triangular number (2415 = T₆₉).

The spelling of 2247168 in words is "two million, two hundred forty-seven thousand, one hundred sixty-eight".