226848 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 70656.

The previous prime is 226843. The next prime is 226871. The reversal of 226848 is 848622.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (226843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

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 226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

226848 is an abundant number, since it is smaller than the sum of its proper divisors (408192).

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

226848 is a wasteful number, since it uses less digits than its factorization.

226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 226848 is about 476.2856285886. The cubic root of 226848 is about 60.9880833122.

The spelling of 226848 in words is "two hundred twenty-six thousand, eight hundred forty-eight".