2223648 has 72 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 634752.

The previous prime is 2223631. The next prime is 2223671. The reversal of 2223648 is 8463222.

2223648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2223648² = 9889220855808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (100464).

2^2223648 is an apocalyptic number.

2223648 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 2223648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2223648 is an abundant number, since it is smaller than the sum of its proper divisors (5009760).

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

2223648 is a wasteful number, since it uses less digits than its factorization.

2223648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2223648 is about 1491.1901287227. The cubic root of 2223648 is about 130.5234907288.

The spelling of 2223648 in words is "two million, two hundred twenty-three thousand, six hundred forty-eight".