226256672 has 48 divisors (see below), whose sum is σ = 477423072. Its totient is φ = 105169920.

The previous prime is 226256633. The next prime is 226256677. The reversal of 226256672 is 276652622.

226256672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226256677) 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, 42647 + ... + 47657.

It is an arithmetic number, because the mean of its divisors is an integer number (9946314).

Almost surely, 2^226256672 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 226256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238711536).

226256672 is an abundant number, since it is smaller than the sum of its proper divisors (251166400).

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

226256672 is a wasteful number, since it uses less digits than its factorization.

226256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5113 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 226256672 is about 15041.8307396407. The cubic root of 226256672 is about 609.3504435671.

It can be divided in two parts, 22625 and 6672, that multiplied together give a triangular number (150954000 = T₁₇₃₇₅).

The spelling of 226256672 in words is "two hundred twenty-six million, two hundred fifty-six thousand, six hundred seventy-two".