2229768 has 96 divisors (see below), whose sum is σ = 6639360. Its totient is φ = 699840.

The previous prime is 2229767. The next prime is 2229769. The reversal of 2229768 is 8679222.

It is an interprime number because it is at equal distance from previous prime (2229767) and next prime (2229769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁵ + 2⁷ + 2¹⁷ + 9² + 7 + 6⁴ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229767) 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 23 ways as a sum of consecutive naturals, for example, 60246 + ... + 60282.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2^2229768 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 2229768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319680).

2229768 is an abundant number, since it is smaller than the sum of its proper divisors (4409592).

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

2229768 is a wasteful number, since it uses less digits than its factorization.

2229768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2229768 is about 1493.2407709408. The cubic root of 2229768 is about 130.6431247791.

The spelling of 2229768 in words is "two million, two hundred twenty-nine thousand, seven hundred sixty-eight".