2226848 has 48 divisors (see below), whose sum is σ = 4858056. Its totient is φ = 998400.

The previous prime is 2226839. The next prime is 2226853. The reversal of 2226848 is 8486222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 71824 = 1468^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁴ + 2¹⁶ + 6⁶ + 8² + 4⁵ + 8⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21998 + ... + 22098.

2^2226848 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 2226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429028).

2226848 is an abundant number, since it is smaller than the sum of its proper divisors (2631208).

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

2226848 is a wasteful number, since it uses less digits than its factorization.

2226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 2226848 is about 1492.2627114553. The cubic root of 2226848 is about 130.5860718230.

The spelling of 2226848 in words is "two million, two hundred twenty-six thousand, eight hundred forty-eight".