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22230020434314 = 23711177193936589
BaseRepresentation
bin1010000110111110101000…
…11110001010100110001010
32220201011120100100010002210
411003133110132022212022
510403204040212344224
6115140155211205550
74453031425661040
oct503372436124612
986634510303083
1022230020434314
1170a0775aaa710
1225b03b0a468b6
13c53388535374
1456bd1dc36390
152883c1aeb429
hex1437d478a98a

22230020434314 has 128 divisors (see below), whose sum is σ = 58772973772800. Its totient is φ = 5426822753280.

The previous prime is 22230020434313. The next prime is 22230020434343. The reversal of 22230020434314 is 41343402003222.

It is not an unprimeable number, because it can be changed into a prime (22230020434313) 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, 3678732 + ... + 7615320.

It is an arithmetic number, because the mean of its divisors is an integer number (459163857600).

Almost surely, 222230020434314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230020434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29386486886400).

22230020434314 is an abundant number, since it is smaller than the sum of its proper divisors (36542953338486).

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

22230020434314 is a wasteful number, since it uses less digits than its factorization.

22230020434314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937348.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 22230020434314 its reverse (41343402003222), we get a palindrome (63573422437536).

The spelling of 22230020434314 in words is "twenty-two trillion, two hundred thirty billion, twenty million, four hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 719 1122 1309 1438 2157 2618 3927 4314 5033 7854 7909 10066 12223 15099 15818 23727 24446 30198 36669 47454 55363 73338 85561 110726 134453 166089 171122 256683 268906 332178 403359 513366 806718 941171 1882342 2823513 3936589 5647026 7873178 11809767 23619534 27556123 43302479 55112246 66922013 82668369 86604958 129907437 133844026 165336738 200766039 259814874 303117353 401532078 468454091 606234706 736142143 909352059 936908182 1405362273 1472284286 1818704118 2208426429 2810724546 2830407491 4416852858 5152995001 5660814982 8491222473 10305990002 15458985003 16982444946 19812852437 30917970006 31134482401 39625704874 48116927347 59438557311 62268964802 93403447203 96233854694 118877114622 144350782041 186806894406 217941376807 288701564082 336818491429 435882753614 529286200817 653824130421 673636982858 1010455474287 1058572401634 1307648260842 1587858602451 2020910948574 3175717204902 3705003405719 7410006811438 11115010217157 22230020434314