226884672 has 112 divisors (see below), whose sum is σ = 762325120. Its totient is φ = 64820736.

The previous prime is 226884667. The next prime is 226884701. The reversal of 226884672 is 276488622.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718 + ... + 21474.

Almost surely, 2^226884672 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 226884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381162560).

226884672 is an abundant number, since it is smaller than the sum of its proper divisors (535440448).

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

226884672 is a wasteful number, since it uses less digits than its factorization.

226884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785 (or 18769 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 226884672 is about 15062.6913929749. The cubic root of 226884672 is about 609.9136955746.

The spelling of 226884672 in words is "two hundred twenty-six million, eight hundred eighty-four thousand, six hundred seventy-two".