Search a number
-
+
222102102200 = 235211643157007
BaseRepresentation
bin1100111011011001010…
…0010010000010111000
3210020021200021210212012
43032312110102002320
512114331114232300
6250010550505052
722021616501516
oct3166624220270
9706250253765
10222102102200
1186213934770
1237065665188
1317c3736c764
14aa6d63d4b6
155b9da20435
hex33b65120b8

222102102200 has 96 divisors (see below), whose sum is σ = 564211388160. Its totient is φ = 80638281600.

The previous prime is 222102102119. The next prime is 222102102227. The reversal of 222102102200 is 2201201222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336097 + ... + 1493103.

It is an arithmetic number, because the mean of its divisors is an integer number (5877201960).

Almost surely, 2222102102200 is an apocalyptic number.

222102102200 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 222102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282105694080).

222102102200 is an abundant number, since it is smaller than the sum of its proper divisors (342109285960).

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

222102102200 is a wasteful number, since it uses less digits than its factorization.

222102102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157677 (or 157668 counting only the distinct ones).

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

Adding to 222102102200 its reverse (2201201222), we get a palindrome (224303303422).

The spelling of 222102102200 in words is "two hundred twenty-two billion, one hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 643 1100 1286 2200 2572 3215 5144 6430 7073 12860 14146 16075 25720 28292 32150 35365 56584 64300 70730 128600 141460 157007 176825 282920 314014 353650 628028 707300 785035 1256056 1414600 1570070 1727077 3140140 3454154 3925175 6280280 6908308 7850350 8635385 13816616 15700700 17270770 31401400 34541540 43176925 69083080 86353850 100955501 172707700 201911002 345415400 403822004 504777505 807644008 1009555010 1110510511 2019110020 2221021022 2523887525 4038220040 4442042044 5047775050 5552552555 8884084088 10095550100 11105105110 20191100200 22210210220 27762762775 44420420440 55525525550 111051051100 222102102200