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2220116220 = 2232572776361
BaseRepresentation
bin1000010001010100…
…0100100011111100
312201201112120220200
42010111010203330
514021322204340
61004144443500
7106005451020
oct20425044374
95651476820
102220116220
11a3a21a1a3
1251b619590
13294c5594a
14170bd6380
15ced92330
hex845448fc

2220116220 has 144 divisors (see below), whose sum is σ = 7725402048. Its totient is φ = 505543680.

The previous prime is 2220116209. The next prime is 2220116231. The reversal of 2220116220 is 226110222.

2220116220 is a `hidden beast` number, since 22 + 20 + 1 + 1 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2220116209) and next prime (2220116231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220116193 and 2220116202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345840 + ... + 352200.

Almost surely, 22220116220 is an apocalyptic number.

2220116220 is a gapful number since it is divisible by the number (20) 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 2220116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862701024).

2220116220 is an abundant number, since it is smaller than the sum of its proper divisors (5505285828).

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

2220116220 is a wasteful number, since it uses less digits than its factorization.

2220116220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2220116220 is about 47118.1092574819. The cubic root of 2220116220 is about 1304.5435140979.

Adding to 2220116220 its reverse (226110222), we get a palindrome (2446226442).

The spelling of 2220116220 in words is "two billion, two hundred twenty million, one hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 277 315 420 554 630 831 1108 1260 1385 1662 1939 2493 2770 3324 3878 4155 4986 5540 5817 6361 7756 8310 9695 9972 11634 12465 12722 16620 17451 19083 19390 23268 24930 25444 29085 31805 34902 38166 38780 44527 49860 57249 58170 63610 69804 76332 87255 89054 95415 114498 116340 127220 133581 174510 178108 190830 222635 228996 267162 286245 349020 381660 400743 445270 534324 572490 667905 801486 890540 1144980 1335810 1602972 1761997 2003715 2671620 3523994 4007430 5285991 7047988 8014860 8809985 10571982 12333979 15857973 17619970 21143964 24667958 26429955 31715946 35239940 37001937 49335916 52859910 61669895 63431892 74003874 79289865 105719820 111005811 123339790 148007748 158579730 185009685 222011622 246679580 317159460 370019370 444023244 555029055 740038740 1110058110 2220116220