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2032223133000 = 233533079220009
BaseRepresentation
bin11101100100101001111…
…100000001110101001000
321012021112010100121111110
4131210221330001311020
5231243443110224000
64153331310330320
7266552245421154
oct35445174016510
97167463317443
102032223133000
11713951a84615
12289a374b99a0
1311983a39a288
1470508278064
1537ce1d92850
hex1d929f01d48

2032223133000 has 128 divisors (see below), whose sum is σ = 6342624288000. Its totient is φ = 541747699200.

The previous prime is 2032223132971. The next prime is 2032223133001. The reversal of 2032223133000 is 3313222302.

It is not an unprimeable number, because it can be changed into a prime (2032223133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9126996 + ... + 9347004.

It is an arithmetic number, because the mean of its divisors is an integer number (49551752250).

Almost surely, 22032223133000 is an apocalyptic number.

2032223133000 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 2032223133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171312144000).

2032223133000 is an abundant number, since it is smaller than the sum of its proper divisors (4310401155000).

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

2032223133000 is a wasteful number, since it uses less digits than its factorization.

2032223133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223112 (or 223098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2032223133000 its reverse (3313222302), we get a palindrome (2035536355302).

The spelling of 2032223133000 in words is "two trillion, thirty-two billion, two hundred twenty-three million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3079 6158 9237 12316 15395 18474 24632 30790 36948 46185 61580 73896 76975 92370 123160 153950 184740 220009 230925 307900 369480 384875 440018 461850 615800 660027 769750 880036 923700 1100045 1154625 1320054 1539500 1760072 1847400 2200090 2309250 2640108 3079000 3300135 4400180 4618500 5280216 5500225 6600270 8800360 9237000 11000450 13200540 16500675 22000900 26401080 27501125 33001350 44001800 55002250 66002700 82503375 110004500 132005400 165006750 220009000 330013500 660027000 677407711 1354815422 2032223133 2709630844 3387038555 4064446266 5419261688 6774077110 8128892532 10161115665 13548154220 16257785064 16935192775 20322231330 27096308440 33870385550 40644462660 50805578325 67740771100 81288925320 84675963875 101611156650 135481542200 169351927750 203222313300 254027891625 338703855500 406444626600 508055783250 677407711000 1016111566500 2032223133000