33023030220 has 288 divisors, whose sum is σ = 105628723200. Its totient is φ = 8339853312.

The previous prime is 33023030219. The next prime is 33023030231. The reversal of 33023030220 is 2203032033.

33023030220 is a `hidden beast` number, since 330 + 2 + 30 + 302 + 2 + 0 = 666.

It is a super-2 number, since 2×33023030220² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33023030193 and 33023030202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72260232 + ... + 72260688.

It is an arithmetic number, because the mean of its divisors is an integer number (366766400).

Almost surely, 2^33023030220 is an apocalyptic number.

33023030220 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 33023030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52814361600).

33023030220 is an abundant number, since it is smaller than the sum of its proper divisors (72605692980).

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

33023030220 is a wasteful number, since it uses less digits than its factorization.

33023030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 33023030220 its reverse (2203032033), we get a palindrome (35226062253).

The spelling of 33023030220 in words is "thirty-three billion, twenty-three million, thirty thousand, two hundred twenty".