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332230201000 = 23531734955997
BaseRepresentation
bin1001101010110100111…
…01101000111010101000
31011202112200201212202021
410311122131220322220
520420401412413000
6412342514114224
733000655054045
oct4653235507250
91152480655667
10332230201000
11118997318355
125447b27b974
132543826a969
141211984a1cc
158996ebd11a
hex4d5a768ea8

332230201000 has 128 divisors (see below), whose sum is σ = 825522516000. Its totient is φ = 124714291200.

The previous prime is 332230200961. The next prime is 332230201067. The reversal of 332230201000 is 102032233.

It can be written as a sum of positive squares in 16 ways, for example, as 23213124 + 332206987876 = 4818^2 + 576374^2 .

It is a super-2 number, since 2×3322302010002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5905002 + ... + 5960998.

Almost surely, 2332230201000 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 332230201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412761258000).

332230201000 is an abundant number, since it is smaller than the sum of its proper divisors (493292315000).

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

332230201000 is a wasteful number, since it uses less digits than its factorization.

332230201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56384 (or 56370 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 332230201000 its reverse (102032233), we get a palindrome (332332233233).

The spelling of 332230201000 in words is "three hundred thirty-two billion, two hundred thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 349 425 500 680 698 850 1000 1396 1700 1745 2125 2792 3400 3490 4250 5933 6980 8500 8725 11866 13960 17000 17450 23732 29665 34900 43625 47464 55997 59330 69800 87250 111994 118660 148325 174500 223988 237320 279985 296650 349000 447976 559970 593300 741625 951949 1119940 1186600 1399925 1483250 1903898 2239880 2799850 2966500 3807796 4759745 5599700 5933000 6999625 7615592 9519490 11199400 13999250 19038980 19542953 23798725 27998500 38077960 39085906 47597450 55997000 78171812 95194900 97714765 118993625 156343624 190389800 195429530 237987250 332230201 390859060 475974500 488573825 664460402 781718120 951949000 977147650 1328920804 1661151005 1954295300 2442869125 2657841608 3322302010 3908590600 4885738250 6644604020 8305755025 9771476500 13289208040 16611510050 19542953000 33223020100 41528775125 66446040200 83057550250 166115100500 332230201000