Search a number
-
+
2244330334422 = 2321123743364319
BaseRepresentation
bin100000101010001100100…
…000110010100011010110
321221120000020110212001100
4200222030200302203112
5243232342031200142
64435010420010530
7321101412036411
oct40521440624326
97846006425040
102244330334422
117958a6a67400
12302b71830a46
13133840b16557
147a8aa2c0b78
153d5a81b0b4c
hex20a8c8328d6

2244330334422 has 144 divisors (see below), whose sum is σ = 5502190337280. Its totient is φ = 660180533760.

The previous prime is 2244330334417. The next prime is 2244330334453.

2244330334422 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 3 + 303 + 344 + 2 + 2 = 666.

2244330334422 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34861579 + ... + 34925897.

It is an arithmetic number, because the mean of its divisors is an integer number (38209655120).

Almost surely, 22244330334422 is an apocalyptic number.

2244330334422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244330334422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751095168640).

2244330334422 is an abundant number, since it is smaller than the sum of its proper divisors (3257860002858).

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

2244330334422 is a wasteful number, since it uses less digits than its factorization.

2244330334422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64819 (or 64805 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2244330 and 334422, that added together give a palindrome (2578752).

The spelling of 2244330334422 in words is "two trillion, two hundred forty-four billion, three hundred thirty million, three hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 433 666 726 814 866 1089 1221 1299 2178 2442 2598 3663 3897 4477 4763 7326 7794 8954 9526 13431 14289 16021 26862 28578 32042 40293 42867 48063 52393 64319 80586 85734 96126 104786 128638 144189 157179 176231 192957 288378 314358 352462 385914 471537 528693 578871 707509 943074 1057386 1157742 1415018 1586079 1938541 2122527 2379803 3172158 3877082 4245054 4759606 5815623 6367581 7139409 7782599 11631246 12735162 14278818 15565198 17446869 21418227 23347797 26177833 27850127 34893738 42836454 46695594 52355666 55700254 70043391 78533499 83550381 140086782 157066998 167100762 235600497 250651143 287956163 306351397 471200994 501302286 575912326 612702794 863868489 919054191 1030454699 1727736978 1838108382 2060909398 2591605467 2757162573 3091364097 3369865367 5183210934 5514325146 6182728194 6739730734 9274092291 10109596101 11335001689 18548184582 20219192202 22670003378 30328788303 34005005067 60657576606 68010010134 102015015201 124685018579 204030030402 249370037158 374055055737 748110111474 1122165167211 2244330334422