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220411303404 = 2231923113371957
BaseRepresentation
bin1100110101000110001…
…0011001010111101100
3210001220211202022221120
43031101202121113230
512102400243202104
6245131111100540
721631666111125
oct3152142312754
9701824668846
10220411303404
1185526486596
1236873371750
1317a27c952b6
14a94cc7104c
155b00387cd9
hex33518995ec

220411303404 has 96 divisors (see below), whose sum is σ = 569899169280. Its totient is φ = 65987970048.

The previous prime is 220411303369. The next prime is 220411303429. The reversal of 220411303404 is 404303114022.

220411303404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2204113034042 (a number of 23 digits) contains 22 as substring.

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, 406594 + ... + 778550.

It is an arithmetic number, because the mean of its divisors is an integer number (5936449680).

Almost surely, 2220411303404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220411303404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284949584640).

220411303404 is an abundant number, since it is smaller than the sum of its proper divisors (349487865876).

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

220411303404 is a wasteful number, since it uses less digits than its factorization.

220411303404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372119 (or 372117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220411303404 its reverse (404303114022), we get a palindrome (624714417426).

The spelling of 220411303404 in words is "two hundred twenty billion, four hundred eleven million, three hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 113 114 138 226 228 276 339 437 452 678 874 1311 1356 1748 2147 2599 2622 4294 5198 5244 6441 7797 8588 10396 12882 15594 25764 31188 49381 98762 148143 197524 296286 371957 592572 743914 1115871 1487828 2231742 4463484 7067183 8555011 14134366 17110022 21201549 25665033 28268732 34220044 42031141 42403098 51330066 84062282 84806196 102660132 126093423 162545209 168124564 252186846 325090418 487635627 504373692 650180836 798591679 966716243 975271254 1597183358 1933432486 1950542508 2395775037 2900148729 3194366716 3866864972 4791550074 5800297458 9583100148 11600594916 18367608617 36735217234 55102825851 73470434468 110205651702 220411303404