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22144310430 = 23511218733257
BaseRepresentation
bin10100100111111001…
…110101110010011110
32010011021102112011120
4110213321311302132
5330322420413210
614101205231410
71412520350544
oct244771656236
963137375146
1022144310430
119433982200
124360102566
13211ba0b288
141100dc7d94
15899137270
hex527e75c9e

22144310430 has 96 divisors (see below), whose sum is σ = 58466191392. Its totient is φ = 5363804160.

The previous prime is 22144310411. The next prime is 22144310431. The reversal of 22144310430 is 3401344122.

It is a self number, because there is not a number n which added to its sum of digits gives 22144310430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144310431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6797362 + ... + 6800618.

It is an arithmetic number, because the mean of its divisors is an integer number (609022827).

Almost surely, 222144310430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29233095696).

22144310430 is an abundant number, since it is smaller than the sum of its proper divisors (36321880962).

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

22144310430 is a wasteful number, since it uses less digits than its factorization.

22144310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22144310430 its reverse (3401344122), we get a palindrome (25545654552).

The spelling of 22144310430 in words is "twenty-two billion, one hundred forty-four million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 1873 3257 3630 3746 5619 6514 9365 9771 11238 16285 18730 19542 20603 28095 32570 35827 41206 48855 56190 61809 71654 97710 103015 107481 123618 179135 206030 214962 226633 309045 358270 394097 453266 537405 618090 679899 788194 1074810 1133165 1182291 1359798 1970485 2266330 2364582 3399495 3940970 5911455 6100361 6798990 11822910 12200722 18301083 30501805 36602166 61003610 67103971 91505415 134207942 183010830 201311913 335519855 402623826 671039710 738143681 1006559565 1476287362 2013119130 2214431043 3690718405 4428862086 7381436810 11072155215 22144310430