Search a number
-
+
221211221022 = 233111783263933
BaseRepresentation
bin1100111000000100110…
…1110101110000011110
3210010222120221100122000
43032001031311300132
512111020033033042
6245342324103130
721660551232351
oct3160115656036
9703876840560
10221211221022
11858a6a70530
1236a57234aa6
1317b2491982c
14a9c71b8298
155b4a6e574c
hex3381375c1e

221211221022 has 128 divisors (see below), whose sum is σ = 574658219520. Its totient is φ = 62330181120.

The previous prime is 221211220963. The next prime is 221211221047. The reversal of 221211221022 is 220122112122.

It is a happy number.

221211221022 is a `hidden beast` number, since 221 + 211 + 2 + 210 + 22 = 666.

221211221022 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 221211220986 and 221211221004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 706168 + ... + 970100.

It is an arithmetic number, because the mean of its divisors is an integer number (4489517340).

Almost surely, 2221211221022 is an apocalyptic number.

221211221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287329109760).

221211221022 is an abundant number, since it is smaller than the sum of its proper divisors (353446998498).

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

221211221022 is a wasteful number, since it uses less digits than its factorization.

221211221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264055 (or 264049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221211221022 its reverse (220122112122), we get a palindrome (441333333144).

The spelling of 221211221022 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 83 99 102 153 166 187 198 249 297 306 374 459 498 561 594 747 913 918 1122 1411 1494 1683 1826 2241 2739 2822 3366 4233 4482 5049 5478 8217 8466 10098 12699 15521 16434 24651 25398 31042 38097 46563 49302 76194 93126 139689 263933 279378 419067 527866 791799 838134 1583598 2375397 2903263 4486861 4750794 5806526 7126191 8709789 8973722 13460583 14252382 17419578 21906439 26129367 26921166 40381749 43812878 49355471 52258734 65719317 78388101 80763498 98710942 121145247 131438634 148066413 156776202 197157951 240970829 242290494 296132826 372409463 394315902 444199239 481941658 591473853 722912487 744818926 888398478 1117228389 1182947706 1332597717 1445824974 2168737461 2234456778 2665195434 3351685167 4096504093 4337474922 6506212383 6703370334 8193008186 10055055501 12289512279 13012424766 20110111002 24579024558 36868536837 73737073674 110605610511 221211221022