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22414200241422 = 23111423238657129
BaseRepresentation
bin1010001100010101101100…
…11100010111110100001110
32221100202222011010201210010
411012022312130113310032
510414213240230211142
6115400535203454050
74502241530340513
oct506126634276416
987322864121703
1022414200241422
117161899776830
122620032387326
13c6785b105452
14576bd2bcd30a
1528d0a1245e9c
hex1462b6717d0e

22414200241422 has 32 divisors (see below), whose sum is σ = 48938076449280. Its totient is φ = 6787408720320.

The previous prime is 22414200241399. The next prime is 22414200241423.

22414200241422 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22414200241422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414200241423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119234647 + ... + 119422482.

It is an arithmetic number, because the mean of its divisors is an integer number (1529314889040).

Almost surely, 222414200241422 is an apocalyptic number.

22414200241422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22414200241422 is an abundant number, since it is smaller than the sum of its proper divisors (26523876207858).

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

22414200241422 is a wasteful number, since it uses less digits than its factorization.

22414200241422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238658568.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 22414200 and 241422, that added together give a palindrome (22655622).

The spelling of 22414200241422 in words is "twenty-two trillion, four hundred fourteen billion, two hundred million, two hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 1423 2846 4269 8538 15653 31306 46959 93918 238657129 477314258 715971387 1431942774 2625228419 5250456838 7875685257 15751370514 339609094567 679218189134 1018827283701 2037654567402 3735700040237 7471400080474 11207100120711 22414200241422