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220404211434 = 233114161148361
BaseRepresentation
bin1100110101000100011…
…1010101111011101010
3210001220100102000121000
43031101013111323222
512102341434231214
6245130255055430
721631551612621
oct3152107257352
9701810360530
10220404211434
1185522482260
1236870b11576
1317a26681274
14a94bd466b8
155aee936809
hex33511d5eea

220404211434 has 128 divisors (see below), whose sum is σ = 556321893120. Its totient is φ = 64091520000.

The previous prime is 220404211397. The next prime is 220404211453. The reversal of 220404211434 is 434112404022.

220404211434 is a `hidden beast` number, since 2 + 2 + 0 + 404 + 211 + 43 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220404211398 and 220404211407.

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, 1411414 + ... + 1559774.

It is an arithmetic number, because the mean of its divisors is an integer number (4346264790).

Almost surely, 2220404211434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220404211434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278160946560).

220404211434 is an abundant number, since it is smaller than the sum of its proper divisors (335917681686).

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

220404211434 is a wasteful number, since it uses less digits than its factorization.

220404211434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148485 (or 148479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220404211434 its reverse (434112404022), we get a palindrome (654516615456).

The spelling of 220404211434 in words is "two hundred twenty billion, four hundred four million, two hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 61 66 82 99 122 123 183 198 246 297 366 369 451 549 594 671 738 902 1098 1107 1342 1353 1647 2013 2214 2501 2706 3294 4026 4059 5002 6039 7503 8118 12078 12177 15006 18117 22509 24354 27511 36234 45018 55022 67527 82533 135054 148361 165066 247599 296722 445083 495198 742797 890166 1335249 1485594 1631971 2670498 3263942 4005747 4895913 6082801 8011494 9050021 9791826 12165602 14687739 18100042 18248403 27150063 29375478 36496806 44063217 54300126 54745209 66910811 81450189 88126434 99550231 109490418 133821622 162900378 164235627 199100462 200732433 244350567 298650693 328471254 371050861 401464866 488701134 597301386 602197299 742101722 895952079 1113152583 1204394598 1791904158 1806591897 2226305166 2687856237 3339457749 3613183794 4081559471 5375712474 6678915498 8163118942 10018373247 12244678413 20036746494 24489356826 36734035239 73468070478 110202105717 220404211434