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22344232014 = 232131634791223
BaseRepresentation
bin10100110011110100…
…011110110001001110
32010200012121121000200
4110303310132301032
5331230110411024
614133110234330
71420465560366
oct246364366116
963605547020
1022344232014
119526811255
1243b70559a6
132151268980
14111d7899a6
158ab9782c9
hex533d1ec4e

22344232014 has 96 divisors (see below), whose sum is σ = 52608890880. Its totient is φ = 6813129024.

The previous prime is 22344232007. The next prime is 22344232019. The reversal of 22344232014 is 41023244322.

22344232014 is a `hidden beast` number, since 2 + 2 + 34 + 423 + 201 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22344232019) by changing a digit.

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, 18269407 + ... + 18270629.

It is an arithmetic number, because the mean of its divisors is an integer number (548009280).

Almost surely, 222344232014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304445440).

22344232014 is an abundant number, since it is smaller than the sum of its proper divisors (30264658866).

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

22344232014 is a wasteful number, since it uses less digits than its factorization.

22344232014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22344232014 its reverse (41023244322), we get a palindrome (63367476336).

The spelling of 22344232014 in words is "twenty-two billion, three hundred forty-four million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 479 489 958 978 1223 1437 1467 2119 2446 2874 2934 3669 4238 4311 6227 6357 7338 8622 11007 12454 12714 15899 18681 19071 22014 31798 37362 38142 47697 56043 78077 95394 112086 143091 156154 199349 234231 286182 398698 468462 585817 598047 702693 1015001 1171634 1196094 1405386 1757451 1794141 2030002 2591537 3045003 3514902 3588282 5183074 5272353 6090006 7615621 7774611 9135009 10544706 15231242 15549222 18270018 22846863 23323833 45693726 46647666 68540589 95488171 137081178 190976342 286464513 572929026 859393539 1241346223 1718787078 2482692446 3724038669 7448077338 11172116007 22344232014