33220000001000 has 32 divisors (see below), whose sum is σ = 77734800004680. Its totient is φ = 13288000000000.

The previous prime is 33220000000991. The next prime is 33220000001017. The reversal of 33220000001000 is 10000002233.

33220000001000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1756404186436 + 31463595814564 = 1325294^2 + 5609242^2 .

It is a super-2 number, since 2×33220000001000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16609999001 + ... + 16610001000.

Almost surely, 2^{33220000001000} is an apocalyptic number.

It is an amenable number.

33220000001000 is an abundant number, since it is smaller than the sum of its proper divisors (44514800003680).

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

33220000001000 is a wasteful number, since it uses less digits than its factorization.

33220000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220000022 (or 33220000008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 33220000001000 its reverse (10000002233), we get a palindrome (33230000003233).

The spelling of 33220000001000 in words is "thirty-three trillion, two hundred twenty billion, one thousand".