Search a number
-
+
404402220220 = 225193596194789
BaseRepresentation
bin1011110001010000100…
…00000010110010111100
31102122211111010022212011
411320220100002302330
523111203432021340
6505440235021004
741134315104205
oct5705020026274
91378744108764
10404402220220
11146562568629
126646159a764
132c19a69aa8b
1415804ad85ac
15a7bd1200ea
hex5e28402cbc

404402220220 has 96 divisors (see below), whose sum is σ = 898067520000. Its totient is φ = 152541543168.

The previous prime is 404402220203. The next prime is 404402220251. The reversal of 404402220220 is 22022204404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404402220191 and 404402220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84441586 + ... + 84446374.

It is an arithmetic number, because the mean of its divisors is an integer number (9354870000).

Almost surely, 2404402220220 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 404402220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449033760000).

404402220220 is an abundant number, since it is smaller than the sum of its proper divisors (493665299780).

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

404402220220 is a wasteful number, since it uses less digits than its factorization.

404402220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 404402220220 its reverse (22022204404), we get a palindrome (426424424624).

The spelling of 404402220220 in words is "four hundred four billion, four hundred two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 359 380 619 718 1238 1436 1795 2476 3095 3590 4789 6190 6821 7180 9578 11761 12380 13642 19156 23522 23945 27284 34105 47044 47890 58805 68210 90991 95780 117610 136420 181982 222221 235220 363964 444442 454955 888884 909910 1111105 1719251 1819820 2222210 2964391 3438502 4222199 4444420 5928782 6877004 8444398 8596255 11857564 14821955 16888796 17192510 21110995 29643910 32665769 34385020 42221990 56323429 59287820 65331538 84443980 112646858 130663076 163328845 225293716 281617145 326657690 563234290 653315380 1064216369 1126468580 2128432738 4256865476 5321081845 10642163690 20220111011 21284327380 40440222022 80880444044 101100555055 202201110110 404402220220