330023100 has 144 divisors (see below), whose sum is σ = 1053432576. Its totient is φ = 79104000.

The previous prime is 330023093. The next prime is 330023101. The reversal of 330023100 is 1320033.

It is a happy number.

It is a super-2 number, since 2×330023100² = 217830493067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330023101) 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, 319585 + ... + 320615.

It is an arithmetic number, because the mean of its divisors is an integer number (7315504).

Almost surely, 2^330023100 is an apocalyptic number.

330023100 is a gapful number since it is divisible by the number (30) 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 330023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526716288).

330023100 is an abundant number, since it is smaller than the sum of its proper divisors (723409476).

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

330023100 is a wasteful number, since it uses less digits than its factorization.

330023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330023100 is about 18166.5379200331. The cubic root of 330023100 is about 691.0584469458.

Adding to 330023100 its reverse (1320033), we get a palindrome (331343133).

The spelling of 330023100 in words is "three hundred thirty million, twenty-three thousand, one hundred".