Search a number
-
+
2222111222200 = 235223107242193
BaseRepresentation
bin100000010101100000001…
…001100110100110111000
321212102122202022000010001
4200111200021212212320
5242401340433102300
64420453535202344
7316353662512522
oct40254011464670
97772582260101
102222111222200
11787434944541
122ba7b06763b4
1313170c777c7c
147979d3c4a12
153cc0770016a
hex205602669b8

2222111222200 has 144 divisors (see below), whose sum is σ = 5442018407280. Its totient is φ = 842233328640.

The previous prime is 2222111222143. The next prime is 2222111222213. The reversal of 2222111222200 is 22221112222.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52644304 + ... + 52686496.

It is an arithmetic number, because the mean of its divisors is an integer number (37791794495).

Almost surely, 22222111222200 is an apocalyptic number.

2222111222200 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 2222111222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721009203640).

2222111222200 is an abundant number, since it is smaller than the sum of its proper divisors (3219907185080).

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

2222111222200 is a wasteful number, since it uses less digits than its factorization.

2222111222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42446 (or 42330 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222111222200 its reverse (22221112222), we get a palindrome (2244332334422).

2222111222200 divided by its reverse (22221112222) gives a square (100 = 102).

The spelling of 2222111222200 in words is "two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 107 115 184 200 214 230 428 460 535 575 856 920 1070 1150 2140 2300 2461 2675 4280 4600 4922 5350 9844 10700 11449 12305 19688 21400 22898 24610 42193 45796 49220 57245 61525 84386 91592 98440 114490 123050 168772 210965 228980 246100 263327 286225 337544 421930 457960 492200 526654 572450 843860 970439 1053308 1054825 1144900 1316635 1687720 1940878 2106616 2109650 2289800 2633270 3881756 4219300 4514651 4852195 5266540 6583175 7763512 8438600 9029302 9704390 10533080 13166350 18058604 19408780 22573255 24260975 26332700 36117208 38817560 45146510 48521950 52665400 90293020 97043900 103836973 112866275 180586040 194087800 207673946 225732550 415347892 451465100 483067657 519184865 830695784 902930200 966135314 1038369730 1932270628 2076739460 2415338285 2595924325 3864541256 4153478920 4830676570 5191848650 9661353140 10383697300 11110556111 12076691425 19322706280 20767394600 22221112222 24153382850 44442224444 48306765700 55552780555 88884448888 96613531400 111105561110 222211122220 277763902775 444422244440 555527805550 1111055611100 2222111222200