Search a number
-
+
222122232222 = 2311291013133671
BaseRepresentation
bin1100111011011110000…
…1000100100110011110
3210020100002011112001120
43032313201010212132
512114401242412342
6250012550151410
722022252551602
oct3166741044636
9706302145046
10222122232222
1186224233750
1237070352566
1317c3b59a107
14aa7219d502
155ba0699aec
hex33b784499e

222122232222 has 128 divisors (see below), whose sum is σ = 508061445120. Its totient is φ = 64122240000.

The previous prime is 222122232191. The next prime is 222122232239. The reversal of 222122232222 is 222232221222.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222122232192 and 222122232201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60505447 + ... + 60509117.

It is an arithmetic number, because the mean of its divisors is an integer number (3969230040).

Almost surely, 2222122232222 is an apocalyptic number.

222122232222 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 222122232222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254030722560).

222122232222 is an abundant number, since it is smaller than the sum of its proper divisors (285939212898).

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

222122232222 is a wasteful number, since it uses less digits than its factorization.

222122232222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130.

The product of its digits is 3072, while the sum is 24.

Adding to 222122232222 its reverse (222232221222), we get a palindrome (444354453444).

It can be divided in two parts, 22212223 and 2222, that added together give a triangular number (22214445 = T6665).

The spelling of 222122232222 in words is "two hundred twenty-two billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 313 319 606 626 638 939 957 1111 1878 1914 2222 2929 3333 3443 3671 5858 6666 6886 7342 8787 9077 10329 11013 17574 18154 20658 22026 27231 31613 32219 40381 54462 63226 64438 80762 94839 96657 99847 106459 121143 189678 193314 199694 212918 242286 299541 319377 347743 370771 599082 638754 695486 741542 916777 1043229 1112313 1149023 1171049 1833554 2086458 2224626 2298046 2342098 2750331 3447069 3513147 4078481 5500662 6894138 7026294 8156962 10084547 10752359 12235443 12639253 20169094 21504718 24470886 25278506 30253641 32257077 33321667 37917759 60507282 64514154 66643334 75835518 99965001 116051323 118275949 199930002 232102646 236551898 348153969 354827847 366538337 696307938 709655694 733076674 1099615011 1276564553 2199230022 2553129106 3365488367 3829693659 6730976734 7659387318 10096465101 20192930202 37020372037 74040744074 111061116111 222122232222