233306070228 has 576 divisors, whose sum is σ = 816114216960. Its totient is φ = 56797977600.

The previous prime is 233306070203. The next prime is 233306070233. The reversal of 233306070228 is 822070603332.

It is a happy number.

233306070228 is a `hidden beast` number, since 23 + 3 + 3 + 0 + 607 + 0 + 2 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233306070192 and 233306070201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426519051 + ... + 426519597.

It is an arithmetic number, because the mean of its divisors is an integer number (1416864960).

Almost surely, 2^233306070228 is an apocalyptic number.

233306070228 is a gapful number since it is divisible by the number (28) 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 233306070228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408057108480).

233306070228 is an abundant number, since it is smaller than the sum of its proper divisors (582808146732).

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

233306070228 is a wasteful number, since it uses less digits than its factorization.

233306070228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 233306070228 in words is "two hundred thirty-three billion, three hundred six million, seventy thousand, two hundred twenty-eight".