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4442000200 = 23521110119991
BaseRepresentation
bin1000010001100001…
…11000101101001000
3102110120101222201221
410020300320231020
533044123001300
62012435251424
7215035243621
oct41060705510
912416358657
104442000200
11197a436550
12a3b749b74
1355a37a0b1
14301d2ca48
151aee8331a
hex108c38b48

4442000200 has 96 divisors (see below), whose sum is σ = 11378646720. Its totient is φ = 1599200000.

The previous prime is 4442000197. The next prime is 4442000219. The reversal of 4442000200 is 20002444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212205 + ... + 232195.

It is an arithmetic number, because the mean of its divisors is an integer number (118527570).

Almost surely, 24442000200 is an apocalyptic number.

4442000200 is a gapful number since it is divisible by the number (40) 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 4442000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689323360).

4442000200 is an abundant number, since it is smaller than the sum of its proper divisors (6936646520).

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

4442000200 is a wasteful number, since it uses less digits than its factorization.

4442000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20119 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4442000200 is about 66648.3323122192. The cubic root of 4442000200 is about 1643.8399263596.

Adding to 4442000200 its reverse (20002444), we get a palindrome (4462002644).

The spelling of 4442000200 in words is "four billion, four hundred forty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 19991 20200 22220 27775 39982 44440 55550 79964 99955 111100 159928 199910 219901 222200 399820 439802 499775 799640 879604 999550 1099505 1759208 1999100 2019091 2199010 3998200 4038182 4398020 5497525 8076364 8796040 10095455 10995050 16152728 20190910 21990100 22210001 40381820 43980200 44420002 50477275 80763640 88840004 100954550 111050005 177680008 201909100 222100010 403818200 444200020 555250025 888400040 1110500050 2221000100 4442000200