Search a number
-
+
22112120210200 = 2352294933772843
BaseRepresentation
bin1010000011100011000010…
…00100100000001100011000
32220021220020200021011121121
411001301201010200030120
510344241110233211300
6115010100124215024
74441355644420156
oct501614104401430
986256220234547
1022112120210200
117055774440269
12259158839a474
13c4521938ab47
1456633771c3d6
152852c116681a
hex141c61120318

22112120210200 has 96 divisors (see below), whose sum is σ = 53194311529200. Its totient is φ = 8538111106560.

The previous prime is 22112120210183. The next prime is 22112120210249. The reversal of 22112120210200 is 201202121122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28224979 + ... + 28997821.

Almost surely, 222112120210200 is an apocalyptic number.

22112120210200 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 22112120210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26597155764600).

22112120210200 is an abundant number, since it is smaller than the sum of its proper divisors (31082191319000).

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

22112120210200 is a wasteful number, since it uses less digits than its factorization.

22112120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777821 (or 777812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112120210200 its reverse (201202121122), we get a palindrome (22313322331322).

The spelling of 22112120210200 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 4933 5800 9866 19732 24665 39464 49330 98660 123325 143057 197320 246650 286114 493300 572228 715285 772843 986600 1144456 1430570 1545686 2861140 3091372 3576425 3864215 5722280 6182744 7152850 7728430 14305700 15456860 19321075 22412447 28611400 30913720 38642150 44824894 77284300 89649788 112062235 154568600 179299576 224124470 448248940 560311175 896497880 1120622350 2241244700 3812434519 4482489400 7624869038 15249738076 19062172595 30499476152 38124345190 76248690380 95310862975 110560601051 152497380760 190621725950 221121202102 381243451900 442242404204 552803005255 762486903800 884484808408 1105606010510 2211212021020 2764015026275 4422424042040 5528030052550 11056060105100 22112120210200