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222111210020 = 225759131205267
BaseRepresentation
bin1100111011011011011…
…1000001101000100100
3210020022022102112102212
43032312313001220210
512114340432210040
6250011514022552
722022060064110
oct3166667015044
9706268375385
10222111210020
1186218a95597
1237068717a58
1317c3920b1bb
14aa70930740
155b9e71dd65
hex33b6dc1a24

222111210020 has 96 divisors (see below), whose sum is σ = 546242780160. Its totient is φ = 74289870720.

The previous prime is 222111210019. The next prime is 222111210077. The reversal of 222111210020 is 20012111222.

222111210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 222111209977 and 222111210004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979427 + ... + 1184693.

It is an arithmetic number, because the mean of its divisors is an integer number (5690028960).

Almost surely, 2222111210020 is an apocalyptic number.

222111210020 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 222111210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273121390080).

222111210020 is an abundant number, since it is smaller than the sum of its proper divisors (324131570140).

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

222111210020 is a wasteful number, since it uses less digits than its factorization.

222111210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205473 (or 205471 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222111210020 its reverse (20012111222), we get a palindrome (242123321242).

The spelling of 222111210020 in words is "two hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 131 140 236 262 295 413 524 590 655 826 917 1180 1310 1652 1834 2065 2620 3668 4130 4585 7729 8260 9170 15458 18340 30916 38645 54103 77290 108206 154580 205267 216412 270515 410534 541030 821068 1026335 1082060 1436869 2052670 2873738 4105340 5747476 7184345 12110753 14368690 24221506 26889977 28737380 48443012 53779954 60553765 84775271 107559908 121107530 134449885 169550542 188229839 242215060 268899770 339101084 376459678 423876355 537799540 752919356 847752710 941149195 1586508643 1695505420 1882298390 3173017286 3764596780 6346034572 7932543215 11105560501 15865086430 22211121002 31730172860 44422242004 55527802505 111055605010 222111210020