33222222000 has 480 divisors, whose sum is σ = 133260042240. Its totient is φ = 7629120000.

The previous prime is 33222221971. The next prime is 33222222029. The reversal of 33222222000 is 22222233.

It is an interprime number because it is at equal distance from previous prime (33222221971) and next prime (33222222029).

It is a super-2 number, since 2×33222222000² (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 nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3757585 + ... + 3766415.

It is an arithmetic number, because the mean of its divisors is an integer number (277625088).

Almost surely, 2^33222222000 is an apocalyptic number.

33222222000 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 33222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66630021120).

33222222000 is an abundant number, since it is smaller than the sum of its proper divisors (100037820240).

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

33222222000 is a wasteful number, since it uses less digits than its factorization.

33222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33222222000 its reverse (22222233), we get a palindrome (33244444233).

The spelling of 33222222000 in words is "thirty-three billion, two hundred twenty-two million, two hundred twenty-two thousand".