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2022211022220 = 2232531383946223
BaseRepresentation
bin11101011011010101001…
…010110110110110001100
321011022200100210200111200
4131123111022312312030
5231112442010202340
64144554012145500
7266046163035624
oct35332512666614
97138610720450
102022211022220
1170a6844485a4
12287b02468290
1311890302c57c
146dc38681884
1537907de1330
hex1d6d52b6d8c

2022211022220 has 144 divisors (see below), whose sum is σ = 6348451479552. Its totient is φ = 520497797760.

The previous prime is 2022211022147. The next prime is 2022211022371. The reversal of 2022211022220 is 222201122202.

2022211022220 is a `hidden beast` number, since 202 + 221 + 1 + 0 + 22 + 220 = 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 = 2022211022193 and 2022211022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1664029 + ... + 2610251.

It is an arithmetic number, because the mean of its divisors is an integer number (44086468608).

Almost surely, 22022211022220 is an apocalyptic number.

2022211022220 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 2022211022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174225739776).

2022211022220 is an abundant number, since it is smaller than the sum of its proper divisors (4326240457332).

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

2022211022220 is a wasteful number, since it uses less digits than its factorization.

2022211022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946652 (or 946647 counting only the distinct ones).

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

Adding to 2022211022220 its reverse (222201122202), we get a palindrome (2244412144422).

The spelling of 2022211022220 in words is "two trillion, twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 383 465 558 620 766 930 1116 1149 1395 1532 1860 1915 2298 2790 3447 3830 4596 5580 5745 6894 7660 11490 11873 13788 17235 22980 23746 34470 35619 47492 59365 68940 71238 106857 118730 142476 178095 213714 237460 356190 427428 534285 712380 946223 1068570 1892446 2137140 2838669 3784892 4731115 5677338 8516007 9462230 11354676 14193345 17032014 18924460 28386690 29332913 34064028 42580035 56773380 58665826 85160070 87998739 117331652 146664565 170320140 175997478 263996217 293329130 351994956 362403409 439993695 527992434 586658260 724806818 879987390 1055984868 1087210227 1319981085 1449613636 1759974780 1812017045 2174420454 2639962170 3261630681 3624034090 4348840908 5279924340 5436051135 6523261362 7248068180 10872102270 11234505679 13046522724 16308153405 21744204540 22469011358 32616306810 33703517037 44938022716 56172528395 65232613620 67407034074 101110551111 112345056790 134814068148 168517585185 202221102222 224690113580 337035170370 404442204444 505552755555 674070340740 1011105511110 2022211022220