Search a number
-
+
221022441330 = 235192203910009
BaseRepresentation
bin1100110111010111110…
…1101100111101110010
3210010111102201100120120
43031311331230331302
512110123221110310
6245311501551110
721653066516265
oct3156575547562
9703442640516
10221022441330
118580a451559
1236a03b75496
1317ac4790682
14a9aa0b6cdc
155b38d55b70
hex3375f6cf72

221022441330 has 96 divisors (see below), whose sum is σ = 560172412800. Its totient is φ = 55804287744.

The previous prime is 221022441329. The next prime is 221022441331. The reversal of 221022441330 is 33144220122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221022441329) and next prime (221022441331).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221022441330.

It is not an unprimeable number, because it can be changed into a prime (221022441331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22077366 + ... + 22087374.

It is an arithmetic number, because the mean of its divisors is an integer number (5835129300).

Almost surely, 2221022441330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280086206400).

221022441330 is an abundant number, since it is smaller than the sum of its proper divisors (339149971470).

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

221022441330 is a wasteful number, since it uses less digits than its factorization.

221022441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12077 counting only the distinct ones).

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

Adding to 221022441330 its reverse (33144220122), we get a palindrome (254166661452).

The spelling of 221022441330 in words is "two hundred twenty-one billion, twenty-two million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2039 2166 3610 4078 5415 6117 10009 10195 10830 12234 20018 20390 30027 30585 38741 50045 60054 61170 77482 100090 116223 150135 190171 193705 232446 300270 380342 387410 570513 581115 736079 950855 1141026 1162230 1472158 1901710 2208237 2852565 3613249 3680395 4416474 5705130 7226498 7360790 10839747 11041185 18066245 20408351 21679494 22082370 36132490 40816702 54198735 61225053 102041755 108397470 122450106 204083510 306125265 387758669 612250530 775517338 1163276007 1938793345 2326552014 3877586690 5816380035 7367414711 11632760070 14734829422 22102244133 36837073555 44204488266 73674147110 110511220665 221022441330