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4420201020 = 2235892113923
BaseRepresentation
bin1000001110111011…
…01110101000111100
3102102001101110212220
410013131232220330
533023032413040
62010340125340
7214352042304
oct40735565074
912361343786
104420201020
1119690a74a4
12a34396850
135559b6a81
142dd096604
151ad0c92d0
hex10776ea3c

4420201020 has 96 divisors (see below), whose sum is σ = 12578146560. Its totient is φ = 1159656960.

The previous prime is 4420201001. The next prime is 4420201031. The reversal of 4420201020 is 201020244.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1124779 + ... + 1128701.

It is an arithmetic number, because the mean of its divisors is an integer number (131022360).

Almost surely, 24420201020 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 4420201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289073280).

4420201020 is an abundant number, since it is smaller than the sum of its proper divisors (8157945540).

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

4420201020 is a wasteful number, since it uses less digits than its factorization.

4420201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4420201020 is about 66484.5923504085. The cubic root of 4420201020 is about 1641.1464594235.

Adding to 4420201020 its reverse (201020244), we get a palindrome (4621221264).

The spelling of 4420201020 in words is "four billion, four hundred twenty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 211 267 356 422 445 534 633 844 890 1055 1068 1266 1335 1780 2110 2532 2670 3165 3923 4220 5340 6330 7846 11769 12660 15692 18779 19615 23538 37558 39230 47076 56337 58845 75116 78460 93895 112674 117690 187790 225348 235380 281685 349147 375580 563370 698294 827753 1047441 1126740 1396588 1655506 1745735 2094882 2483259 3311012 3491470 4138765 4189764 4966518 5237205 6982940 8277530 9933036 10474410 12416295 16555060 20948820 24832590 49665180 73670017 147340034 221010051 294680068 368350085 442020102 736700170 884040204 1105050255 1473400340 2210100510 4420201020