Search a number
-
+
21655223442210 = 2353182729099679
BaseRepresentation
bin1001110110001111111111…
…11001101001101100100010
32211200012220202101111220110
410323013333321221230202
510314244344200122320
6114020134452552150
74363352424110121
oct473077771515442
984605822344813
1021655223442210
116999a2409aa66
122518b16622656
13c111041ac7a7
1454c192ca1ab8
1527847e6a15e0
hex13b1ffe69b22

21655223442210 has 128 divisors (see below), whose sum is σ = 53737957785600. Its totient is φ = 5579192021760.

The previous prime is 21655223442043. The next prime is 21655223442211. The reversal of 21655223442210 is 1224432255612.

It is not an unprimeable number, because it can be changed into a prime (21655223442211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237336151 + ... + 2237345829.

It is an arithmetic number, because the mean of its divisors is an integer number (419827795200).

Almost surely, 221655223442210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21655223442210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26868978892800).

21655223442210 is an abundant number, since it is smaller than the sum of its proper divisors (32082734343390).

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

21655223442210 is a wasteful number, since it uses less digits than its factorization.

21655223442210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13456.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 21655223442210 its reverse (1224432255612), we get a palindrome (22879655697822).

The spelling of 21655223442210 in words is "twenty-one trillion, six hundred fifty-five billion, two hundred twenty-three million, four hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 827 930 1654 2481 2909 4135 4962 5818 8270 8727 9679 12405 14545 17454 19358 24810 25637 29037 29090 43635 48395 51274 58074 76911 87270 90179 96790 128185 145185 153822 180358 256370 270537 290370 300049 384555 450895 541074 600098 769110 900147 901790 1352685 1500245 1800294 2405743 2705370 3000490 4500735 4811486 7217229 8004533 9001470 12028715 14434458 16009066 24013599 24057430 28156211 36086145 40022665 48027198 56312422 72172290 74578033 80045330 84468633 120067995 140781055 149156066 168937266 223734099 240135990 248140523 281562110 372890165 422343165 447468198 496281046 744421569 745780330 844686330 872842541 1118670495 1240702615 1488843138 1745685082 2237340990 2481405230 2618527623 3722107845 4364212705 5237055246 7444215690 8728425410 13092638115 23285186497 26185276230 46570372994 69855559491 116425932485 139711118982 232851864970 349277797455 698555594910 721840781407 1443681562814 2165522344221 3609203907035 4331044688442 7218407814070 10827611721105 21655223442210