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4180220020 = 2251982113399
BaseRepresentation
bin1111100100101001…
…0001100001110100
3101210022211011211201
43321022101201310
532030114020040
61530444342244
7205406166244
oct37112214164
911708734751
104180220020
111855697199
12987b44984
13518071792
142b9267b24
15196ec3a9a
hexf9291874

4180220020 has 48 divisors (see below), whose sum is σ = 9252432000. Its totient is φ = 1582035840.

The previous prime is 4180219991. The next prime is 4180220021. The reversal of 4180220020 is 200220814.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 4180220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180220021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305281 + ... + 318679.

It is an arithmetic number, because the mean of its divisors is an integer number (192759000).

Almost surely, 24180220020 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 4180220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626216000).

4180220020 is an abundant number, since it is smaller than the sum of its proper divisors (5072211980).

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

4180220020 is a wasteful number, since it uses less digits than its factorization.

4180220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14248 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4180220020 is about 64654.6210258787. The cubic root of 4180220020 is about 1610.8918351470.

Adding to 4180220020 its reverse (200220814), we get a palindrome (4380440834).

The spelling of 4180220020 in words is "four billion, one hundred eighty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 821 1642 3284 4105 8210 13399 15599 16420 26798 31198 53596 62396 66995 77995 133990 155990 254581 267980 311980 509162 1018324 1272905 2545810 5091620 11000579 22001158 44002316 55002895 110005790 209011001 220011580 418022002 836044004 1045055005 2090110010 4180220020