Search a number
-
+
222221110104 = 233272367171629
BaseRepresentation
bin1100111011110101101…
…0010000101101011000
3210020120222020001000100
43032331122100231120
512120102101010404
6250030441335400
722024563161400
oct3167532205530
9706528201010
10222221110104
1186275029104
1237099497560
1317c55c09c36
14aa8137b800
155ba91cbd39
hex33bd690b58

222221110104 has 144 divisors (see below), whose sum is σ = 702021621600. Its totient is φ = 63318374784.

The previous prime is 222221110091. The next prime is 222221110109. The reversal of 222221110104 is 401011122222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221110109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1208962 + ... + 1380590.

It is an arithmetic number, because the mean of its divisors is an integer number (4875150150).

Almost surely, 2222221110104 is an apocalyptic number.

222221110104 is a gapful number since it is divisible by the number (24) 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 222221110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351010810800).

222221110104 is an abundant number, since it is smaller than the sum of its proper divisors (479800511496).

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

222221110104 is a wasteful number, since it uses less digits than its factorization.

222221110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172022 (or 172008 counting only the distinct ones).

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

Adding to 222221110104 its reverse (401011122222), we get a palindrome (623232232326).

The spelling of 222221110104 in words is "two hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 367 392 441 504 588 734 882 1101 1176 1468 1764 2202 2569 2936 3303 3528 4404 5138 6606 7707 8808 10276 13212 15414 17983 20552 23121 26424 30828 35966 46242 53949 61656 71932 92484 107898 143864 161847 171629 184968 215796 323694 343258 431592 514887 647388 686516 1029774 1201403 1294776 1373032 1544661 2059548 2402806 3089322 3604209 4119096 4805612 6178644 7208418 8409821 9611224 10812627 12357288 14416836 16819642 21625254 25229463 28833672 33639284 43250508 50458926 62987843 67278568 75688389 86501016 100917852 125975686 151376778 188963529 201835704 251951372 302753556 377927058 440914901 503902744 566890587 605507112 755854116 881829802 1133781174 1322744703 1511708232 1763659604 2267562348 2645489406 3086404307 3527319208 3968234109 4535124696 5290978812 6172808614 7936468218 9259212921 10581957624 12345617228 15872936436 18518425842 24691234456 27777638763 31745872872 37036851684 55555277526 74073703368 111110555052 222221110104