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22414344414 = 2371167372089
BaseRepresentation
bin10100110111111111…
…111100000011011110
32010212002112200011020
4110313333330003132
5331401033010124
614144053105010
71422306532620
oct246777740336
963762480136
1022414344414
119562349790
124416628166
1321629466b7
141128bdac10
158b2bc7379
hex537ffc0de

22414344414 has 64 divisors (see below), whose sum is σ = 55974136320. Its totient is φ = 5813176320.

The previous prime is 22414344413. The next prime is 22414344431. The reversal of 22414344414 is 41444341422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414344413) 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 31 ways as a sum of consecutive naturals, for example, 274882 + ... + 346970.

It is an arithmetic number, because the mean of its divisors is an integer number (874595880).

Almost surely, 222414344414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414344414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27987068160).

22414344414 is an abundant number, since it is smaller than the sum of its proper divisors (33559791906).

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

22414344414 is a wasteful number, since it uses less digits than its factorization.

22414344414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72785.

The product of its digits is 49152, while the sum is 33.

Adding to 22414344414 its reverse (41444341422), we get a palindrome (63858685836).

The spelling of 22414344414 in words is "twenty-two billion, four hundred fourteen million, three hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 673 1346 2019 4038 4711 7403 9422 14133 14806 22209 28266 44418 51821 72089 103642 144178 155463 216267 310926 432534 504623 792979 1009246 1513869 1585958 2378937 3027738 4757874 5550853 11101706 16652559 33305118 48515897 97031794 145547691 291095382 339611279 533674867 679222558 1018833837 1067349734 1601024601 2037667674 3202049202 3735724069 7471448138 11207172207 22414344414