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3200000200 = 2352109229641
BaseRepresentation
bin1011111010111100…
…0010000011001000
322021000100212000221
42332233002003020
523023200001300
61245311035424
7142204360435
oct27657020310
98230325027
103200000200
1113a2353571
1275380bb74
133bcc6b957
14224dc8b8c
1513aded31a
hexbebc20c8

3200000200 has 96 divisors (see below), whose sum is σ = 7552809000. Its totient is φ = 1260748800.

The previous prime is 3200000191. The next prime is 3200000201. The reversal of 3200000200 is 20000023.

It can be written as a sum of positive squares in 12 ways, for example, as 1794200164 + 1405800036 = 42358^2 + 37494^2 .

It is not an unprimeable number, because it can be changed into a prime (3200000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991880 + ... + 4992520.

Almost surely, 23200000200 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 3200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776404500).

3200000200 is an abundant number, since it is smaller than the sum of its proper divisors (4352808800).

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

3200000200 is a wasteful number, since it uses less digits than its factorization.

3200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 3200000200 is about 56568.5442626907. The cubic root of 3200000200 is about 1473.6126301564.

Adding to 3200000200 its reverse (20000023), we get a palindrome (3220000223).

The spelling of 3200000200 in words is "three billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 229 436 458 545 641 872 916 1090 1145 1282 1832 2180 2290 2564 2725 3205 4360 4580 5128 5450 5725 6410 9160 10900 11450 12820 16025 21800 22900 24961 25640 32050 45800 49922 64100 69869 99844 124805 128200 139738 146789 199688 249610 279476 293578 349345 499220 558952 587156 624025 698690 733945 998440 1174312 1248050 1397380 1467890 1746725 2496100 2794760 2935780 3493450 3669725 4992200 5871560 6986900 7339450 13973800 14678900 16000001 29357800 32000002 64000004 80000005 128000008 160000010 320000020 400000025 640000040 800000050 1600000100 3200000200