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2200133232000 = 27335311716521
BaseRepresentation
bin100000000001000010001…
…010001110010110000000
321210022221001211102102000
4200001002022032112000
5242021333101411000
64402421030424000
7314645231623404
oct40010212162600
97708831742360
102200133232000
11779086941180
122b6498202000
1312c619361142
14786b6533104
153c36cebd000
hex2004228e580

2200133232000 has 1024 divisors, whose sum is σ = 8966424729600. Its totient is φ = 525772800000.

The previous prime is 2200133231993. The next prime is 2200133232029. The reversal of 2200133232000 is 2323310022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337388740 + ... + 337395260.

It is an arithmetic number, because the mean of its divisors is an integer number (8756274150).

Almost surely, 22200133232000 is an apocalyptic number.

2200133232000 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 2200133232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483212364800).

2200133232000 is an abundant number, since it is smaller than the sum of its proper divisors (6766291497600).

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

2200133232000 is a wasteful number, since it uses less digits than its factorization.

2200133232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2200133232000 its reverse (2323310022), we get a palindrome (2202456542022).

The spelling of 2200133232000 in words is "two trillion, two hundred billion, one hundred thirty-three million, two hundred thirty-two thousand".