33224100052000 has 288 divisors, whose sum is σ = 96429835442304. Its totient is φ = 11152142976000.

The previous prime is 33224100051973. The next prime is 33224100052001. The reversal of 33224100052000 is 25000142233.

It is a super-2 number, since 2×33224100052000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (33224100052001) 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, 5201997 + ... + 9670003.

It is an arithmetic number, because the mean of its divisors is an integer number (334825817508).

Almost surely, 2^{33224100052000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33224100052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48214917721152).

33224100052000 is an abundant number, since it is smaller than the sum of its proper divisors (63205735390304).

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

33224100052000 is a wasteful number, since it uses less digits than its factorization.

33224100052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468069 (or 4468038 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 33224100052000 its reverse (25000142233), we get a palindrome (33249100194233).

The spelling of 33224100052000 in words is "thirty-three trillion, two hundred twenty-four billion, one hundred million, fifty-two thousand".