Search a number
-
+
10404302220 = 223251316992617
BaseRepresentation
bin10011011000010010…
…10000110110001100
3222212002112022111200
421230021100312030
5132302000132340
64440224145500
7515554052424
oct115411206614
928762468450
1010404302220
114459a59284
122024468290
13c9a6a7060
14709b27484
1540d621330
hex26c250d8c

10404302220 has 144 divisors (see below), whose sum is σ = 34020386400. Its totient is φ = 2558573568.

The previous prime is 10404302219. The next prime is 10404302239. The reversal of 10404302220 is 2220340401.

10404302220 is a `hidden beast` number, since 10 + 4 + 0 + 430 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10404302193 and 10404302202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974352 + ... + 3976968.

Almost surely, 210404302220 is an apocalyptic number.

10404302220 is a gapful number since it is divisible by the number (10) 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 10404302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010193200).

10404302220 is an abundant number, since it is smaller than the sum of its proper divisors (23616084180).

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

10404302220 is a wasteful number, since it uses less digits than its factorization.

10404302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10404302220 its reverse (2220340401), we get a palindrome (12624642621).

The spelling of 10404302220 in words is "ten billion, four hundred four million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1699 2340 2617 3398 5097 5234 6796 7851 8495 10194 10468 13085 15291 15702 16990 20388 22087 23553 25485 26170 30582 31404 33980 34021 39255 44174 47106 50970 52340 61164 66261 68042 76455 78510 88348 94212 101940 102063 110435 117765 132522 136084 152910 157020 170105 198783 204126 220870 235530 265044 305820 306189 331305 340210 397566 408252 441740 471060 510315 612378 662610 680420 795132 993915 1020630 1224756 1325220 1530945 1987830 2041260 3061890 3975660 4446283 6123780 8892566 13338849 17785132 22231415 26677698 40016547 44462830 53355396 57801679 66694245 80033094 88925660 115603358 133388490 160066188 173405037 200082735 231206716 266776980 289008395 346810074 400165470 520215111 578016790 693620148 800330940 867025185 1040430222 1156033580 1734050370 2080860444 2601075555 3468100740 5202151110 10404302220