Search a number
-
+
222201111210200 = 23521779827256557
BaseRepresentation
bin110010100001011100111010…
…010011010110100011011000
31002010202012220111011102111222
4302201130322103112203120
5213111020333432211300
62104325440431511212
764542333451044413
oct6241347223264330
91063665814142458
10222201111210200
1164888a64564001
1220b08092688508
1396ca623400475
143cc283c22cb7a
151aa4e62bc4785
hexca173a4d68d8

222201111210200 has 96 divisors (see below), whose sum is σ = 553930991236800. Its totient is φ = 82593294551040.

The previous prime is 222201111210193. The next prime is 222201111210223. The reversal of 222201111210200 is 2012111102222.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 413359679 + ... + 413896878.

It is an arithmetic number, because the mean of its divisors is an integer number (5770114492050).

Almost surely, 2222201111210200 is an apocalyptic number.

222201111210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201111210200 is an abundant number, since it is smaller than the sum of its proper divisors (331729880026600).

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

222201111210200 is a wasteful number, since it uses less digits than its factorization.

222201111210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827256669 (or 827256660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222201111210200 its reverse (2012111102222), we get a palindrome (224213222312422).

The spelling of 222201111210200 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 79 85 100 136 158 170 200 316 340 395 425 632 680 790 850 1343 1580 1700 1975 2686 3160 3400 3950 5372 6715 7900 10744 13430 15800 26860 33575 53720 67150 134300 268600 827256557 1654513114 3309026228 4136282785 6618052456 8272565570 14063361469 16545131140 20681413925 28126722938 33090262280 41362827850 56253445876 65353268003 70316807345 82725655700 112506891752 130706536006 140633614690 165451311400 261413072012 281267229380 326766340015 351584036725 522826144024 562534458760 653532680030 703168073450 1111005556051 1307065360060 1406336146900 1633831700075 2222011112102 2614130720120 2812672293800 3267663400150 4444022224204 5555027780255 6535326800300 8888044448408 11110055560510 13070653600600 22220111121020 27775138901275 44440222242040 55550277802550 111100555605100 222201111210200