226648672 has 48 divisors (see below), whose sum is σ = 460564272. Its totient is φ = 109739520.

The previous prime is 226648661. The next prime is 226648673. The reversal of 226648672 is 276846622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226648673) 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, 129918 + ... + 131650.

It is an arithmetic number, because the mean of its divisors is an integer number (9595089).

Almost surely, 2^226648672 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 226648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230282136).

226648672 is an abundant number, since it is smaller than the sum of its proper divisors (233915600).

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

226648672 is a wasteful number, since it uses less digits than its factorization.

226648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 226648672 is about 15054.8554293955. The cubic root of 226648672 is about 609.7021496715.

The spelling of 226648672 in words is "two hundred twenty-six million, six hundred forty-eight thousand, six hundred seventy-two".