233322222223332 has 108 divisors (see below), whose sum is σ = 665799000978748. Its totient is φ = 68792792745600.

The previous prime is 233322222223303. The next prime is 233322222223373.

233322222223332 is a `hidden beast` number, since 2 + 33 + 32 + 22 + 22 + 223 + 332 = 666.

233322222223332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 194796564958116 + 38525657265216 = 13956954^2 + 6206904^2 .

It is a super-3 number, since 3×233322222223332³ (a number of 44 digits) contains 333 as substring.

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

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 723668719 + ... + 723991062.

Almost surely, 2^{233322222223332} is an apocalyptic number.

233322222223332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233322222223332 is an abundant number, since it is smaller than the sum of its proper divisors (432476778755416).

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

233322222223332 is a wasteful number, since it uses less digits than its factorization.

233322222223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447659850 (or 1447659834 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

The spelling of 233322222223332 in words is "two hundred thirty-three trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred thirty-two".