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2112222020 = 2251923383631
BaseRepresentation
bin111110111100101…
…1111001101000100
312110012111222220012
41331321133031010
513311212101040
6545332125352
7103225406456
oct17571371504
95405458805
102112222020
11994326737
124ab466858
132787a9c1c
1416074c2d6
15c567d865
hex7de5f344

2112222020 has 96 divisors (see below), whose sum is σ = 4892590080. Its totient is φ = 762410880.

The previous prime is 2112221999. The next prime is 2112222031. The reversal of 2112222020 is 202222112.

It is a super-2 number, since 2×21122220202 = 8922963723545760800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112221986 and 2112222004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3347105 + ... + 3347735.

It is an arithmetic number, because the mean of its divisors is an integer number (50964480).

Almost surely, 22112222020 is an apocalyptic number.

2112222020 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 2112222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446295040).

2112222020 is an abundant number, since it is smaller than the sum of its proper divisors (2780368060).

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

2112222020 is a wasteful number, since it uses less digits than its factorization.

2112222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2112222020 is about 45958.9166538986. The cubic root of 2112222020 is about 1283.0586885526.

Adding to 2112222020 its reverse (202222112), we get a palindrome (2314444132).

The spelling of 2112222020 in words is "two billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 383 437 460 631 766 874 1262 1532 1748 1915 2185 2524 3155 3830 4370 6310 7277 7660 8740 8809 11989 12620 14513 14554 17618 23978 29026 29108 35236 36385 44045 47956 58052 59945 72565 72770 88090 119890 145130 145540 167371 176180 239780 241673 275747 290260 334742 483346 551494 669484 836855 966692 1102988 1208365 1378735 1673710 2416730 2757470 3347420 4591787 4833460 5514940 5558479 9183574 11116958 18367148 22233916 22958935 27792395 45917870 55584790 91835740 105611101 111169580 211222202 422444404 528055505 1056111010 2112222020