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22133200014 = 232173122310463
BaseRepresentation
bin10100100111001111…
…011101010010001110
32010010111112001112200
4110213033131102032
5330312044400024
614100131142330
71412324044632
oct244717352216
963114461480
1022133200014
119428683842
1243584449a6
13211961b173
1410dd734dc2
158981902c9
hex5273dd48e

22133200014 has 96 divisors (see below), whose sum is σ = 52654178304. Its totient is φ = 6688984320.

The previous prime is 22133199971. The next prime is 22133200021. The reversal of 22133200014 is 41000233122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 22133200014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110147 + ... + 2120609.

It is an arithmetic number, because the mean of its divisors is an integer number (548481024).

Almost surely, 222133200014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133200014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327089152).

22133200014 is an abundant number, since it is smaller than the sum of its proper divisors (30520978290).

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

22133200014 is a wasteful number, since it uses less digits than its factorization.

22133200014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22133200014 its reverse (41000233122), we get a palindrome (63133433136).

The spelling of 22133200014 in words is "twenty-two billion, one hundred thirty-three million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 223 279 306 446 527 558 669 1054 1338 1581 2007 3162 3791 4014 4743 6913 7582 9486 10463 11373 13826 20739 20926 22746 31389 34119 41478 62217 62778 68238 94167 117521 124434 177871 188334 235042 324353 352563 355742 533613 648706 705126 973059 1057689 1067226 1600839 1946118 2115378 2333249 2919177 3201678 4666498 5514001 5838354 6999747 11028002 13999494 16542003 20999241 33084006 39665233 41998482 49626009 72330719 79330466 99252018 118995699 144661438 216992157 237991398 356987097 433984314 650976471 713974194 1229622223 1301952942 2459244446 3688866669 7377733338 11066600007 22133200014