Search a number
-
+
6220742100 = 2235231838059
BaseRepresentation
bin1011100101100100…
…01111110111010100
3121001112102102220120
411302302033313110
5100220002221400
62505140031540
7310104302226
oct56262176724
917045372816
106220742100
1127024a0681
1212573925b0
13781a361b1
14430270416
152661dcca0
hex172c8fdd4

6220742100 has 144 divisors (see below), whose sum is σ = 18805463040. Its totient is φ = 1585814400.

The previous prime is 6220742093. The next prime is 6220742107. The reversal of 6220742100 is 12470226.

It is an interprime number because it is at equal distance from previous prime (6220742093) and next prime (6220742107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220742107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767871 + ... + 775929.

Almost surely, 26220742100 is an apocalyptic number.

6220742100 is a gapful number since it is divisible by the number (60) 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 6220742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402731520).

6220742100 is an abundant number, since it is smaller than the sum of its proper divisors (12584720940).

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

6220742100 is a wasteful number, since it uses less digits than its factorization.

6220742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6220742100 is about 78871.6812297037. The cubic root of 6220742100 is about 1839.1369317963.

The spelling of 6220742100 in words is "six billion, two hundred twenty million, seven hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 83 93 100 124 150 155 166 186 249 300 310 332 372 415 465 498 620 775 830 930 996 1245 1550 1660 1860 2075 2325 2490 2573 3100 4150 4650 4980 5146 6225 7719 8059 8300 9300 10292 12450 12865 15438 16118 24177 24900 25730 30876 32236 38595 40295 48354 51460 64325 77190 80590 96708 120885 128650 154380 161180 192975 201475 241770 249829 257300 385950 402950 483540 499658 604425 668897 749487 771900 805900 999316 1208850 1249145 1337794 1498974 2006691 2417700 2498290 2675588 2997948 3344485 3747435 4013382 4996580 6245725 6688970 7494870 8026764 10033455 12491450 13377940 14989740 16722425 18737175 20066910 20735807 24982900 33444850 37474350 40133820 41471614 50167275 62207421 66889700 74948700 82943228 100334550 103679035 124414842 200669100 207358070 248829684 311037105 414716140 518395175 622074210 1036790350 1244148420 1555185525 2073580700 3110371050 6220742100