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2124122220 = 22325112346643
BaseRepresentation
bin111111010011011…
…1000100001101100
312111000220120220100
41332212320201230
513322233402340
6550435151100
7103431512103
oct17646704154
95430816810
102124122220
119a0014510
124b3445490
1327b0b566c
1416216903a
15c672e830
hex7e9b886c

2124122220 has 144 divisors (see below), whose sum is σ = 7334675712. Its totient is φ = 492539520.

The previous prime is 2124122207. The next prime is 2124122251. The reversal of 2124122220 is 222214212.

2124122220 is a `hidden beast` number, since 212 + 412 + 22 + 20 = 666.

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 = 2124122193 and 2124122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22219 + ... + 68861.

It is an arithmetic number, because the mean of its divisors is an integer number (50935248).

Almost surely, 22124122220 is an apocalyptic number.

2124122220 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 2124122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667337856).

2124122220 is an abundant number, since it is smaller than the sum of its proper divisors (5210553492).

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

2124122220 is a wasteful number, since it uses less digits than its factorization.

2124122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46692 (or 46687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124122220 is about 46088.2004421956. The cubic root of 2124122220 is about 1285.4637498078.

Adding to 2124122220 its reverse (222214212), we get a palindrome (2346336432).

The spelling of 2124122220 in words is "two billion, one hundred twenty-four million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 46643 93286 139929 186572 233215 279858 419787 466430 513073 559716 699645 839574 932860 1026146 1072789 1399290 1539219 1679148 2052292 2098935 2145578 2565365 2798580 3078438 3218367 4197870 4291156 4617657 5130730 5363945 6156876 6436734 7696095 8395740 9235314 9655101 10261460 10727890 11800679 12873468 15392190 16091835 18470628 19310202 21455780 23088285 23601358 30784380 32183670 35402037 38620404 46176570 47202716 48275505 59003395 64367340 70804074 92353140 96551010 106206111 118006790 141608148 177010185 193102020 212412222 236013580 354020370 424824444 531030555 708040740 1062061110 2124122220