Search a number
-
+
2022341122230 = 23511132113223099
BaseRepresentation
bin11101011011011100111…
…011001001100010110110
321011100000102121110011120
4131123130323021202312
5231113223311402410
64145014540444410
7266052332624142
oct35333473114266
97140012543146
102022341122230
1170a740928670
12287b39b49706
13118923c81720
146dc4ba6a222
153791453e570
hex1d6dcec98b6

2022341122230 has 128 divisors (see below), whose sum is σ = 5704877606400. Its totient is φ = 452335656960.

The previous prime is 2022341122201. The next prime is 2022341122237. The reversal of 2022341122230 is 322211432202.

It is a super-2 number, since 2×20223411222302 (a number of 25 digits) contains 22 as substring.

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 2022341122230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022341122237) 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, 8953221 + ... + 9176319.

It is an arithmetic number, because the mean of its divisors is an integer number (44569356300).

Almost surely, 22022341122230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022341122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852438803200).

2022341122230 is an abundant number, since it is smaller than the sum of its proper divisors (3682536484170).

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

2022341122230 is a wasteful number, since it uses less digits than its factorization.

2022341122230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225246.

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

Adding to 2022341122230 its reverse (322211432202), we get a palindrome (2344552554432).

The spelling of 2022341122230 in words is "two trillion, twenty-two billion, three hundred forty-one million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2113 2145 4226 4290 6339 10565 12678 21130 23243 27469 31695 46486 54938 63390 69729 82407 116215 137345 139458 164814 223099 232430 274690 302159 348645 412035 446198 604318 669297 697290 824070 906477 1115495 1338594 1510795 1812954 2230990 2454089 2900287 3021590 3346485 4532385 4908178 5800574 6692970 7362267 8700861 9064770 12270445 14501435 14724534 17401722 24540890 29002870 31903157 36811335 43504305 63806314 73622670 87008610 95709471 159515785 191418942 319031570 471408187 478547355 942816374 957094710 1414224561 2357040935 2828449122 4714081870 5185490057 6128306431 7071122805 10370980114 12256612862 14142245610 15556470171 18384919293 25927450285 30641532155 31112940342 36769838586 51854900570 61283064310 67411370741 77782350855 91924596465 134822741482 155564701710 183849192930 202234112223 337056853705 404468224446 674113707410 1011170561115 2022341122230