233226280 has 128 divisors (see below), whose sum is σ = 622080000. Its totient is φ = 78650880.

The previous prime is 233226277. The next prime is 233226289. The reversal of 233226280 is 82622332.

233226280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (233226289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220985 + ... + 1221175.

It is an arithmetic number, because the mean of its divisors is an integer number (4860000).

Almost surely, 2^233226280 is an apocalyptic number.

233226280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233226280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040000).

233226280 is an abundant number, since it is smaller than the sum of its proper divisors (388853720).

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

233226280 is a wasteful number, since it uses less digits than its factorization.

233226280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 233226280 is about 15271.7477716206. The cubic root of 233226280 is about 615.5440841370.

The spelling of 233226280 in words is "two hundred thirty-three million, two hundred twenty-six thousand, two hundred eighty".