Search a number
-
+
2202110202200 = 235231165354217
BaseRepresentation
bin100000000010110111111…
…111110001000101011000
321210112000211211220200112
4200002313333301011120
5242034410202432300
64403345132023452
7315045225610046
oct40026777610530
97715024756615
102202110202200
11779a00889147
122b694a301b88
1312c872b03cac
1478822d15396
153c436831e35
hex200b7ff1158

2202110202200 has 96 divisors (see below), whose sum is σ = 5144329625760. Its totient is φ = 876651033600.

The previous prime is 2202110202167. The next prime is 2202110202263. The reversal of 2202110202200 is 22020112022.

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, 40589492 + ... + 40643708.

It is an arithmetic number, because the mean of its divisors is an integer number (53586766935).

Almost surely, 22202110202200 is an apocalyptic number.

2202110202200 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 2202110202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572164812880).

2202110202200 is an abundant number, since it is smaller than the sum of its proper divisors (2942219423560).

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

2202110202200 is a wasteful number, since it uses less digits than its factorization.

2202110202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55197 (or 55188 counting only the distinct ones).

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

Adding to 2202110202200 its reverse (22020112022), we get a palindrome (2224130314222).

The spelling of 2202110202200 in words is "two trillion, two hundred two billion, one hundred ten million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 622 653 1244 1306 1555 2488 2612 3110 3265 5224 6220 6530 7775 12440 13060 15550 16325 26120 31100 32650 54217 62200 65300 108434 130600 203083 216868 271085 406166 433736 542170 812332 1015415 1084340 1355425 1624664 2030830 2168680 2710850 4061660 5077075 5421700 8123320 10154150 10843400 16861487 20308300 33722974 35403701 40616600 67445948 70807402 84307435 134891896 141614804 168614870 177018505 283229608 337229740 354037010 421537175 674459480 708074020 843074350 885092525 1416148040 1686148700 1770185050 3372297400 3540370100 7080740200 11010551011 22021102022 44042204044 55052755055 88084408088 110105510110 220211020220 275263775275 440422040440 550527550550 1101055101100 2202110202200