233226672 has 240 divisors, whose sum is σ = 783699840. Its totient is φ = 59222016.

The previous prime is 233226667. The next prime is 233226677. The reversal of 233226672 is 276622332.

233226672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233226667) and next prime (233226677).

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 (233226677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759543 + ... + 759849.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^233226672 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 233226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

233226672 is an abundant number, since it is smaller than the sum of its proper divisors (550473168).

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

233226672 is a wasteful number, since it uses less digits than its factorization.

233226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 233226672 is about 15271.7606057717. The cubic root of 233226672 is about 615.5444289997.

The spelling of 233226672 in words is "two hundred thirty-three million, two hundred twenty-six thousand, six hundred seventy-two".