333223120 has 80 divisors (see below), whose sum is σ = 829835280. Its totient is φ = 123994112.

The previous prime is 333223097. The next prime is 333223129. The reversal of 333223120 is 21322333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9511056 + 323712064 = 3084^2 + 17992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×333223120² = 222075295405068800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333223129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119664 + ... + 122416.

It is an arithmetic number, because the mean of its divisors is an integer number (10372941).

Almost surely, 2^333223120 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 333223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414917640).

333223120 is an abundant number, since it is smaller than the sum of its proper divisors (496612160).

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

333223120 is a wasteful number, since it uses less digits than its factorization.

333223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 333223120 is about 18254.4000175300. The cubic root of 333223120 is about 693.2848482696.

Adding to 333223120 its reverse (21322333), we get a palindrome (354545453).

The spelling of 333223120 in words is "three hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".