220033000 has 128 divisors (see below), whose sum is σ = 570810240. Its totient is φ = 78720000.

The previous prime is 220032997. The next prime is 220033001. The reversal of 220033000 is 330022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (220033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912880 + ... + 913120.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2^220033000 is an apocalyptic number.

220033000 is a gapful number since it is divisible by the number (20) 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 220033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

220033000 is an abundant number, since it is smaller than the sum of its proper divisors (350777240).

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

220033000 is a wasteful number, since it uses less digits than its factorization.

220033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 220033000 is about 14833.5093622514. The cubic root of 220033000 is about 603.7112562244.

Adding to 220033000 its reverse (330022), we get a palindrome (220363022).

It can be divided in two parts, 2 and 20033000, that added together give a palindrome (20033002).

The spelling of 220033000 in words is "two hundred twenty million, thirty-three thousand".